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2139832512 = 26332942701
BaseRepresentation
bin111111110001011…
…0100000011000000
312112010110202101000
41333202310003000
513340244120022
6552200012000
7104012163516
oct17742640300
95463422330
102139832512
119a8974924
124b8761000
132814263ac
141642984b6
15c7cd46ac
hex7f8b40c0

2139832512 has 112 divisors (see below), whose sum is σ = 6507784800. Its totient is φ = 688665600.

The previous prime is 2139832477. The next prime is 2139832537. The reversal of 2139832512 is 2152389312.

2139832512 is a `hidden beast` number, since 2 + 139 + 8 + 3 + 2 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28762 + ... + 71462.

Almost surely, 22139832512 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 2139832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253892400).

2139832512 is an abundant number, since it is smaller than the sum of its proper divisors (4367952288).

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

2139832512 is a wasteful number, since it uses less digits than its factorization.

2139832512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42751 (or 42735 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2139832512 is about 46258.3237050371. The cubic root of 2139832512 is about 1288.6251225255.

The spelling of 2139832512 in words is "two billion, one hundred thirty-nine million, eight hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 12528 16704 25056 42701 50112 85402 128103 170804 256206 341608 384309 512412 683216 768618 1024824 1152927 1238329 1366432 1537236 2049648 2305854 2476658 2732864 3074472 3714987 4099296 4611708 4953316 6148944 7429974 8198592 9223416 9906632 11144961 12297888 14859948 18446832 19813264 22289922 24595776 29719896 33434883 36893664 39626528 44579844 59439792 66869766 73787328 79253056 89159688 118879584 133739532 178319376 237759168 267479064 356638752 534958128 713277504 1069916256 2139832512