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81136512 = 2733171381
BaseRepresentation
bin1001101011000…
…00101110000000
312122200011101000
410311200232000
5131232332022
612015012000
72003435412
oct465405600
9178604330
1081136512
1141888076
122320a000
1313a6a792
14aac09b2
1571ca6ac
hex4d60b80

81136512 has 128 divisors (see below), whose sum is σ = 253735200. Its totient is φ = 25436160.

The previous prime is 81136511. The next prime is 81136537. The reversal of 81136512 is 21563118.

81136512 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×811365122 = 13166267159052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81136511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58062 + ... + 59442.

Almost surely, 281136512 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 81136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126867600).

81136512 is an abundant number, since it is smaller than the sum of its proper divisors (172598688).

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

81136512 is a wasteful number, since it uses less digits than its factorization.

81136512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1403 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 81136512 is about 9007.5808072978. The cubic root of 81136512 is about 432.9178017978.

The spelling of 81136512 in words is "eighty-one million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1381 1632 1728 1836 2176 2448 2762 3264 3456 3672 4143 4896 5524 6528 7344 8286 9792 11048 12429 14688 16572 19584 22096 23477 24858 29376 33144 37287 44192 46954 49716 58752 66288 70431 74574 88384 93908 99432 132576 140862 149148 176768 187816 198864 211293 265152 281724 298296 375632 397728 422586 530304 563448 596592 633879 751264 795456 845172 1126896 1193184 1267758 1502528 1590912 1690344 2253792 2386368 2535516 3005056 3380688 4507584 4772736 5071032 6761376 9015168 10142064 13522752 20284128 27045504 40568256 81136512