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432920021868 = 223511310313823
BaseRepresentation
bin1100100110011000000…
…10110100101101101100
31112101102221101202100000
412103030002310231230
524043110011144433
6530514122304300
743164106320105
oct6231402645554
91471387352300
10432920021868
11157667080044
126baa0058090
1331a93964519
1416d4c3553ac
15b3dba69113
hex64cc0b4b6c

432920021868 has 144 divisors (see below), whose sum is σ = 1146309405696. Its totient is φ = 142853518080.

The previous prime is 432920021839. The next prime is 432920021939. The reversal of 432920021868 is 868120029234.

432920021868 is a `hidden beast` number, since 432 + 9 + 200 + 2 + 1 + 8 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113239005 + ... + 113242827.

It is an arithmetic number, because the mean of its divisors is an integer number (7960481984).

Almost surely, 2432920021868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432920021868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573154702848).

432920021868 is an abundant number, since it is smaller than the sum of its proper divisors (713389383828).

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

432920021868 is a wasteful number, since it uses less digits than its factorization.

432920021868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 432920021868 in words is "four hundred thirty-two billion, nine hundred twenty million, twenty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1031 1356 2034 2062 3051 3093 3823 4068 4124 6102 6186 7646 9153 9279 11469 12204 12372 15292 18306 18558 22938 27459 27837 34407 36612 37116 45876 54918 55674 68814 83511 103221 109836 111348 116503 137628 167022 206442 233006 250533 309663 334044 349509 412884 431999 466012 501066 619326 699018 863998 928989 1002132 1048527 1238652 1295997 1398036 1727996 1857978 2097054 2591994 3145581 3715956 3887991 3941513 4194108 5183988 6291162 7775982 7883026 9436743 11663973 11824539 12582324 15551964 15766052 18873486 23327946 23649078 28310229 34991919 35473617 37746972 46655892 47298156 56620458 69983838 70947234 104975757 106420851 113240916 139967676 141894468 209951514 212841702 319262553 419903028 425683404 445390969 638525106 890781938 957787659 1277050212 1336172907 1781563876 1915575318 2672345814 3831150636 4008518721 5344691628 8017037442 12025556163 16034074884 24051112326 36076668489 48102224652 72153336978 108230005467 144306673956 216460010934 432920021868