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81418569516 = 223279105127239
BaseRepresentation
bin100101111010011101…
…1001100011100101100
321210011012101212112200
41023310323030130230
52313221123211031
6101223030301500
75611425264534
oct1136473143454
9253135355480
1081418569516
1131590729389
1213942ab7890
1378a6cb586b
143d253224c4
1521b7cd08e6
hex12f4ecc72c

81418569516 has 72 divisors (see below), whose sum is σ = 208619174400. Its totient is φ = 26769506400.

The previous prime is 81418569499. The next prime is 81418569517. The reversal of 81418569516 is 61596581418.

81418569516 is a `hidden beast` number, since 8 + 1 + 41 + 85 + 6 + 9 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (81418569517) 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, 2975425 + ... + 3002663.

Almost surely, 281418569516 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 81418569516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104309587200).

81418569516 is an abundant number, since it is smaller than the sum of its proper divisors (127200604884).

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

81418569516 is a wasteful number, since it uses less digits than its factorization.

81418569516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28379 (or 28374 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 81418569516 in words is "eighty-one billion, four hundred eighteen million, five hundred sixty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1051 1422 2102 2844 3153 4204 6306 9459 12612 18918 27239 37836 54478 81717 83029 108956 163434 166058 245151 249087 326868 332116 490302 498174 747261 980604 996348 1494522 2151881 2989044 4303762 6455643 8607524 12911286 19366929 25822572 28628189 38733858 57256378 77467716 85884567 114512756 171769134 257653701 343538268 515307402 1030614804 2261626931 4523253862 6784880793 9046507724 13569761586 20354642379 27139523172 40709284758 81418569516