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87422605889976 = 23327564313073799
BaseRepresentation
bin10011111000001010101001…
…010111101001000110111000
3102110112112000201100120021100
4103320022221113221012320
542424312444101434401
6505533220221011400
724262034446150410
oct2370125127510670
9373475021316240
1087422605889976
112594579aa16585
12997b1059b3b60
1339a1bbb329626
1417833c33ab640
15a190e1442b86
hex4f82a95e91b8

87422605889976 has 96 divisors (see below), whose sum is σ = 270598663296000. Its totient is φ = 24977436644160.

The previous prime is 87422605889929. The next prime is 87422605889981. The reversal of 87422605889976 is 67998850622478.

87422605889976 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 26 + 0 + 588 + 9 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×874226058899763 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87422605889895 and 87422605889904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26904325 + ... + 29978123.

It is an arithmetic number, because the mean of its divisors is an integer number (2818736076000).

Almost surely, 287422605889976 is an apocalyptic number.

It is an amenable number.

87422605889976 is an abundant number, since it is smaller than the sum of its proper divisors (183176057406024).

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

87422605889976 is a wasteful number, since it uses less digits than its factorization.

87422605889976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130249 (or 3130242 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 87422605889976 in words is "eighty-seven trillion, four hundred twenty-two billion, six hundred five million, eight hundred eighty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 56431 112862 169293 225724 338586 395017 451448 507879 677172 790034 1015758 1185051 1354344 1580068 2031516 2370102 3073799 3160136 3555153 4063032 4740204 6147598 7110306 9221397 9480408 12295196 14220612 18442794 21516593 24590392 27664191 28441224 36885588 43033186 55328382 64549779 73771176 86066372 110656764 129099558 172132744 193649337 221313528 258199116 387298674 516398232 774597348 1549194696 173457551369 346915102738 520372654107 693830205476 1040745308214 1214202859583 1387660410952 1561117962321 2081490616428 2428405719166 3122235924642 3642608578749 4162981232856 4856811438332 6244471849284 7285217157498 9713622876664 10927825736247 12488943698568 14570434314996 21855651472494 29140868629992 43711302944988 87422605889976