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76933032512 = 267245753681
BaseRepresentation
bin100011110100110010…
…0001110101001000000
321100120121001222112112
41013221210032221000
52230024324020022
655201553514452
75362320662300
oct1075144165100
9240517058475
1076933032512
112a699767006
1212ab0872a28
13734090415b
143a1b6dd600
1520040ec8e2
hex11e990ea40

76933032512 has 84 divisors (see below), whose sum is σ = 177980631084. Its totient is φ = 32898539520.

The previous prime is 76933032437. The next prime is 76933032541. The reversal of 76933032512 is 21523033967.

It can be written as a sum of positive squares in 2 ways, for example, as 49900411456 + 27032621056 = 223384^2 + 164416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76933032512.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1406312 + ... + 1459992.

Almost surely, 276933032512 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 76933032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88990315542).

76933032512 is an abundant number, since it is smaller than the sum of its proper divisors (101047598572).

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

76933032512 is a wasteful number, since it uses less digits than its factorization.

76933032512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54164 (or 54147 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The spelling of 76933032512 in words is "seventy-six billion, nine hundred thirty-three million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 457 784 914 1568 1828 3136 3199 3656 6398 7312 12796 14624 22393 25592 29248 44786 51184 53681 89572 102368 107362 179144 204736 214724 358288 375767 429448 716576 751534 858896 1433152 1503068 1717792 2630369 3006136 3435584 5260738 6012272 10521476 12024544 21042952 24049088 24532217 42085904 49064434 84171808 98128868 168343616 171725519 196257736 343451038 392515472 686902076 785030944 1202078633 1373804152 1570061888 2404157266 2747608304 4808314532 5495216608 9616629064 10990433216 19233258128 38466516256 76933032512