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5120534016 = 29331328493
BaseRepresentation
bin1001100010011010…
…10010011000000000
3111012212012002011000
410301031102120000
540441324042031
62204034452000
7240614551413
oct46115223000
914185162130
105120534016
112198453aa4
12baaa34000
13637b118b0
143680b9b7a
151ee8153e6
hex131352600

5120534016 has 160 divisors (see below), whose sum is σ = 16323642720. Its totient is φ = 1575493632.

The previous prime is 5120533969. The next prime is 5120534033. The reversal of 5120534016 is 6104350215.

5120534016 is a `hidden beast` number, since 5 + 120 + 534 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165466 + ... + 193958.

It is an arithmetic number, because the mean of its divisors is an integer number (102022767).

Almost surely, 25120534016 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 5120534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161821360).

5120534016 is an abundant number, since it is smaller than the sum of its proper divisors (11203108704).

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

5120534016 is a wasteful number, since it uses less digits than its factorization.

5120534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28533 (or 28511 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5120534016 is about 71557.9067329390. The cubic root of 5120534016 is about 1723.6076719525.

The spelling of 5120534016 in words is "five billion, one hundred twenty million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 13824 14976 19968 22464 28493 29952 44928 56986 59904 85479 89856 113972 170958 179712 227944 256437 341916 370409 455888 512874 683832 740818 769311 911776 1025748 1111227 1367664 1481636 1538622 1823552 2051496 2222454 2735328 2963272 3077244 3333681 3647104 4102992 4444908 5470656 5926544 6154488 6667362 7294208 8205984 8889816 10001043 10941312 11853088 12308976 13334724 14588416 16411968 17779632 20002086 21882624 23706176 24617952 26669448 32823936 35559264 40004172 43765248 47412352 49235904 53338896 65647872 71118528 80008344 94824704 98471808 106677792 131295744 142237056 160016688 189649408 196943616 213355584 284474112 320033376 393887232 426711168 568948224 640066752 853422336 1280133504 1706844672 2560267008 5120534016