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90604719072 = 2533714980939
BaseRepresentation
bin101010001100001110…
…1100100101111100000
322122212101202121202000
41110120131210233200
52441024302002242
6105342341324000
76355161255630
oct1243035445740
9278771677660
1090604719072
113547500251a
1215687406600
13870c1b0b0a
1445573526c0
1525544cca4c
hex1518764be0

90604719072 has 96 divisors (see below), whose sum is σ = 302015750400. Its totient is φ = 25887060864.

The previous prime is 90604719071. The next prime is 90604719083. The reversal of 90604719072 is 27091740609.

90604719072 is a `hidden beast` number, since 90 + 6 + 0 + 471 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90604719071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7484422 + ... + 7496517.

It is an arithmetic number, because the mean of its divisors is an integer number (3145997400).

Almost surely, 290604719072 is an apocalyptic number.

It is an amenable number.

90604719072 is an abundant number, since it is smaller than the sum of its proper divisors (211411031328).

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

90604719072 is a wasteful number, since it uses less digits than its factorization.

90604719072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980965 (or 14980951 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 90604719072 in words is "ninety billion, six hundred four million, seven hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 14980939 29961878 44942817 59923756 89885634 104866573 119847512 134828451 179771268 209733146 239695024 269656902 314599719 359542536 404485353 419466292 479390048 539313804 629199438 719085072 808970706 838932584 943799157 1078627608 1258398876 1438170144 1617941412 1677865168 1887598314 2157255216 2516797752 2831397471 3235882824 3355730336 3775196628 4314510432 5033595504 5662794942 6471765648 7550393256 10067191008 11325589884 12943531296 15100786512 22651179768 30201573024 45302359536 90604719072