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96873331012983 = 32473
BaseRepresentation
bin10110000001101100010100…
…011110111011010101110111
3110201000000000000000000000000
4112001230110132323111313
5100144133040214403413
6542010554403122343
726255603310231000
oct2601542436732567
9421000000000000
1096873331012983
1128959826968768
12aa4684a6733b3
134209167891925
1419cc9a0dc01a7
15b2ed6e894073
hex581b147bb577

96873331012983 has 100 divisors (see below), whose sum is σ = 169457721888400. Its totient is φ = 55356189150276.

The previous prime is 96873331012961. The next prime is 96873331013029. The reversal of 96873331012983 is 38921013337869.

The cubic root of 96873331012983 is 45927.

It is a perfect power (a cube), and thus also a powerful number.

96873331012983 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 3 + 331 + 0 + 1 + 298 + 3 = 666.

It is not a de Polignac number, because 96873331012983 - 25 = 96873331012951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 96873331012983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96873335012983) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 13839047287566 + ... + 13839047287572.

It is an arithmetic number, because the mean of its divisors is an integer number (1694577218884).

Almost surely, 296873331012983 is an apocalyptic number.

96873331012983 is a deficient number, since it is larger than the sum of its proper divisors (72584390875417).

96873331012983 is an frugal number, since it uses more digits than its factorization.

96873331012983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

96873331012983 divided by its sum of digits (63) gives a square (1537671920841 = 12400292).

The spelling of 96873331012983 in words is "ninety-six trillion, eight hundred seventy-three billion, three hundred thirty-one million, twelve thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 729 1029 1323 1701 2187 3087 3969 5103 6561 9261 11907 15309 19683 27783 35721 45927 59049 83349 107163 137781 177147 250047 321489 413343 531441 750141 964467 1240029 1594323 2250423 2893401 3720087 4782969 6751269 8680203 11160261 14348907 20253807 26040609 33480783 43046721 60761421 78121827 100442349 129140163 182284263 234365481 301327047 387420489 546852789 703096443 903981141 1162261467 1640558367 2109289329 2711943423 3486784401 4921675101 6327867987 8135830269 10460353203 14765025303 18983603961 24407490807 31381059609 44295075909 56950811883 73222472421 94143178827 132885227727 170852435649 219667417263 282429536481 398655683181 512557306947 659002251789 1195967049543 1537671920841 1977006755367 3587901148629 4613015762523 10763703445887 13839047287569 32291110337661 96873331012983