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83063207040 = 2735113932917
BaseRepresentation
bin100110101011011110…
…0111111010010000000
321221101211002010002120
41031112330333102000
52330103140111130
6102054140444240
76000245416242
oct1152674772200
9257354063076
1083063207040
1132255018950
1214121849680
137aa9949c68
14403d916092
15226239a910
hex1356f3f480

83063207040 has 128 divisors (see below), whose sum is σ = 288833497920. Its totient is φ = 20136529920.

The previous prime is 83063206981. The next prime is 83063207089. The reversal of 83063207040 is 4070236038.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 83063206992 and 83063207010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945339 + ... + 1987578.

Almost surely, 283063207040 is an apocalyptic number.

83063207040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83063207040 is an abundant number, since it is smaller than the sum of its proper divisors (205770290880).

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

83063207040 is a wasteful number, since it uses less digits than its factorization.

83063207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932950 (or 3932938 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 83063207040 in words is "eighty-three billion, sixty-three million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 3932917 7865834 11798751 15731668 19664585 23597502 31463336 39329170 43262087 47195004 58993755 62926672 78658340 86524174 94390008 117987510 125853344 129786261 157316680 173048348 188780016 216310435 235975020 251706688 259572522 314633360 346096696 377560032 432620870 471950040 503413376 519145044 629266720 648931305 692193392 755120064 865241740 943900080 1038290088 1258533440 1297862610 1384386784 1510240128 1730483480 1887800160 2076580176 2517066880 2595725220 2768773568 3460966960 3775600320 4153160352 5191450440 5537547136 6921933920 7551200640 8306320704 10382900880 13843867840 16612641408 20765801760 27687735680 41531603520 83063207040