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3999512832 = 28371494993
BaseRepresentation
bin1110111001100011…
…1011100100000000
3101022201210022011220
43232120323210000
531142333402312
61500511235040
7201053204160
oct35630734400
911281708156
103999512832
111772691207
12937518a80
134b97b0a53
1429d2685a0
151861cac8c
hexee63b900

3999512832 has 144 divisors (see below), whose sum is σ = 12249283200. Its totient is φ = 1134821376.

The previous prime is 3999512809. The next prime is 3999512851. The reversal of 3999512832 is 2382159993.

It is a super-2 number, since 2×39995128322 = 31992205786665320448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 798528 + ... + 803520.

Almost surely, 23999512832 is an apocalyptic number.

3999512832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3999512832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124641600).

3999512832 is an abundant number, since it is smaller than the sum of its proper divisors (8249770368).

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

3999512832 is a wasteful number, since it uses less digits than its factorization.

3999512832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5154 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 3999512832 is about 63241.7016848851. The cubic root of 3999512832 is about 1587.3366051021.

The spelling of 3999512832 in words is "three billion, nine hundred ninety-nine million, five hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 256 298 336 384 447 448 596 672 768 894 896 1043 1192 1344 1788 1792 2086 2384 2688 3129 3576 4172 4768 4993 5376 6258 7152 8344 9536 9986 12516 14304 14979 16688 19072 19972 25032 28608 29958 33376 34951 38144 39944 50064 57216 59916 66752 69902 79888 100128 104853 114432 119832 133504 139804 159776 200256 209706 239664 267008 279608 319552 400512 419412 479328 559216 639104 743957 801024 838824 958656 1118432 1278208 1487914 1677648 1917312 2231871 2236864 2975828 3355296 3834624 4463742 4473728 5207699 5951656 6710592 8927484 8947456 10415398 11903312 13421184 15623097 17854968 20830796 23806624 26842368 31246194 35709936 41661592 47613248 62492388 71419872 83323184 95226496 124984776 142839744 166646368 190452992 249969552 285679488 333292736 499939104 571358976 666585472 999878208 1333170944 1999756416 3999512832