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81437642604 = 223219449265169
BaseRepresentation
bin100101111011000001…
…1111100111101101100
321210012112021212220100
41023312003330331230
52313241014030404
6101224551151100
75612046353313
oct1136603747554
9253175255810
1081437642604
11315a047626a
1213949375490
1378aac33106
143d27a8927a
1521b97ebd39
hex12f60fcf6c

81437642604 has 72 divisors (see below), whose sum is σ = 217174230000. Its totient is φ = 25659777024.

The previous prime is 81437642603. The next prime is 81437642609. The reversal of 81437642604 is 40624673418.

81437642604 is a `hidden beast` number, since 8 + 1 + 4 + 37 + 6 + 4 + 2 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 81437642604.

It is not an unprimeable number, because it can be changed into a prime (81437642603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174532 + ... + 439700.

It is an arithmetic number, because the mean of its divisors is an integer number (3016308750).

Almost surely, 281437642604 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 81437642604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108587115000).

81437642604 is an abundant number, since it is smaller than the sum of its proper divisors (135736587396).

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

81437642604 is a wasteful number, since it uses less digits than its factorization.

81437642604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265647 (or 265642 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 81437642604 in words is "eighty-one billion, four hundred thirty-seven million, six hundred forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 449 684 898 1347 1796 2694 4041 5388 8082 8531 16164 17062 25593 34124 51186 76779 102372 153558 265169 307116 530338 795507 1060676 1591014 2386521 3182028 4773042 5038211 9546084 10076422 15114633 20152844 30229266 45343899 60458532 90687798 119060881 181375596 238121762 357182643 476243524 714365286 1071547929 1428730572 2143095858 2262156739 4286191716 4524313478 6786470217 9048626956 13572940434 20359410651 27145880868 40718821302 81437642604