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4960688832 = 26341186993
BaseRepresentation
bin1001001111010111…
…00001101011000000
3110210201102002210000
410213223201223000
540124414020312
62140124440000
7233634105441
oct44753415300
913721362700
104960688832
1121161a7a40
12b653a9000
13610976748
14350b8b2c8
151e078dadc
hex127ae1ac0

4960688832 has 140 divisors (see below), whose sum is σ = 16042041576. Its totient is φ = 1503221760.

The previous prime is 4960688819. The next prime is 4960688861. The reversal of 4960688832 is 2388860694.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13528 + ... + 100520.

Almost surely, 24960688832 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 4960688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021020788).

4960688832 is an abundant number, since it is smaller than the sum of its proper divisors (11081352744).

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

4960688832 is a wasteful number, since it uses less digits than its factorization.

4960688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87028 (or 87009 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4960688832 is about 70432.1576554346. The cubic root of 4960688832 is about 1705.4827403613.

The spelling of 4960688832 in words is "four billion, nine hundred sixty million, six hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 86993 173986 260979 347972 521958 695944 782937 956923 1043916 1391888 1565874 1913846 2087832 2348811 2783776 2870769 3131748 3827692 4175664 4697622 5567552 5741538 6263496 7046433 7655384 8351328 8612307 9395244 11483076 12526992 14092866 15310768 16702656 17224614 18790488 22966152 25053984 25836921 28185732 30621536 34449228 37580976 45932304 50107968 51673842 56371464 61243072 68898456 75161952 77510763 91864608 103347684 112742928 137796912 150323904 155021526 183729216 206695368 225485856 275593824 310043052 413390736 450971712 551187648 620086104 826781472 1240172208 1653562944 2480344416 4960688832