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23683010513904 = 243379478269993
BaseRepresentation
bin1010110001010001000010…
…11011011100101111110000
310002212001222201111212022000
411120220201123130233300
511101010301142421104
6122211454055214000
74663020035611050
oct530504133345760
9102761881455260
1023683010513904
1176009aa025005
1227a5b14377300
13102a3b54cbc01
145bc399d15560
152b10b1d85639
hex158a216dcbf0

23683010513904 has 160 divisors (see below), whose sum is σ = 77772346775040. Its totient is φ = 6759428341248.

The previous prime is 23683010513873. The next prime is 23683010513909. The reversal of 23683010513904 is 40931501038632.

23683010513904 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 30 + 10 + 513 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23683010513904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23683010513909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271269 + ... + 6998724.

It is an arithmetic number, because the mean of its divisors is an integer number (486077167344).

Almost surely, 223683010513904 is an apocalyptic number.

23683010513904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23683010513904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38886173387520).

23683010513904 is an abundant number, since it is smaller than the sum of its proper divisors (54089336261136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23683010513904 is a wasteful number, since it uses less digits than its factorization.

23683010513904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270964 (or 8270952 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 23683010513904 in words is "twenty-three trillion, six hundred eighty-three billion, ten million, five hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 947 1008 1512 1894 2841 3024 3788 5682 6629 7576 8523 11364 13258 15152 17046 19887 22728 25569 26516 34092 39774 45456 51138 53032 59661 68184 79548 102276 106064 119322 136368 159096 178983 204552 238644 318192 357966 409104 477288 715932 954576 1431864 2863728 8269993 16539986 24809979 33079972 49619958 57889951 66159944 74429937 99239916 115779902 132319888 148859874 173669853 198479832 223289811 231559804 297719748 347339706 396959664 446579622 463119608 521009559 595439496 694679412 893159244 926239216 1042019118 1190878992 1389358824 1563028677 1786318488 2084038236 2778717648 3126057354 3572636976 4168076472 6252114708 7831683371 8336152944 12504229416 15663366742 23495050113 25008458832 31326733484 46990100226 54821783597 62653466968 70485150339 93980200452 109643567194 125306933936 140970300678 164465350791 187960400904 211455451017 219287134388 281940601356 328930701582 375920801808 422910902034 438574268776 493396052373 563881202712 657861403164 845821804068 877148537552 986792104746 1127762405424 1315722806328 1480188157119 1691643608136 1973584209492 2631445612656 2960376314238 3383287216272 3947168418984 5920752628476 7894336837968 11841505256952 23683010513904