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81508363136 = 2717913212693
BaseRepresentation
bin100101111101001000…
…1101110101110000000
321210101110100212020022
41023322101232232000
52313412120110021
6101235555033012
75613565440524
oct1137221565600
9253343325208
1081508363136
1131627389692
1213968b9b768
1378bc794895
143d33217d84
1521c0b1b1ab
hex12fa46eb80

81508363136 has 64 divisors (see below), whose sum is σ = 163471381200. Its totient is φ = 40480788480.

The previous prime is 81508363103. The next prime is 81508363141. The reversal of 81508363136 is 63136380518.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×815083631362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30265406 + ... + 30268098.

Almost surely, 281508363136 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 81508363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81735690600).

81508363136 is an abundant number, since it is smaller than the sum of its proper divisors (81963018064).

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

81508363136 is a wasteful number, since it uses less digits than its factorization.

81508363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 81508363136 in words is "eighty-one billion, five hundred eight million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1321 1432 2642 2693 2864 5284 5386 5728 10568 10772 11456 21136 21544 22912 42272 43088 84544 86176 169088 172352 236459 344704 472918 482047 945836 964094 1891672 1928188 3557453 3783344 3856376 7114906 7566688 7712752 14229812 15133376 15425504 28459624 30266752 30851008 56919248 61702016 113838496 227676992 455353984 636784087 1273568174 2547136348 5094272696 10188545392 20377090784 40754181568 81508363136