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18929677968 = 243436739799
BaseRepresentation
bin10001101000010010…
…111111011010010000
31210212020112021110000
4101220102333122100
5302231444143333
612410212410000
71240044415335
oct215022773220
953766467400
1018929677968
118034345263
123803616900
131a28a184a6
14cb80b098c
1575bce8713
hex4684bf690

18929677968 has 100 divisors (see below), whose sum is σ = 54938646400. Its totient is φ = 6292541376.

The previous prime is 18929677957. The next prime is 18929677981. The reversal of 18929677968 is 86977692981.

18929677968 is a `hidden beast` number, since 189 + 296 + 77 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18929677896 and 18929677905.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455733 + ... + 495531.

It is an arithmetic number, because the mean of its divisors is an integer number (549386464).

Almost surely, 218929677968 is an apocalyptic number.

18929677968 is a gapful number since it is divisible by the number (18) 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 18929677968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27469323200).

18929677968 is an abundant number, since it is smaller than the sum of its proper divisors (36008968432).

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

18929677968 is a wasteful number, since it uses less digits than its factorization.

18929677968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40186 (or 40171 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

The spelling of 18929677968 in words is "eighteen billion, nine hundred twenty-nine million, six hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 367 432 648 734 1101 1296 1468 2202 2936 3303 4404 5872 6606 8808 9909 13212 17616 19818 26424 29727 39636 39799 52848 59454 79272 79598 118908 119397 158544 159196 237816 238794 318392 358191 475632 477588 636784 716382 955176 1074573 1432764 1910352 2149146 2865528 3223719 4298292 5731056 6447438 8596584 12894876 14606233 17193168 25789752 29212466 43818699 51579504 58424932 87637398 116849864 131456097 175274796 233699728 262912194 350549592 394368291 525824388 701099184 788736582 1051648776 1183104873 1577473164 2103297552 2366209746 3154946328 4732419492 6309892656 9464838984 18929677968