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996630656 = 2773153677
BaseRepresentation
bin111011011001110…
…110000010000000
32120110100002020112
4323121312002000
54020114140111
6242521130452
733461135510
oct7331660200
92513302215
10996630656
114716323aa
12239929a28
1312b62a6a8
1496511840
155c767e8b
hex3b676080

996630656 has 128 divisors (see below), whose sum is σ = 2390031360. Its totient is φ = 404951040.

The previous prime is 996630643. The next prime is 996630659. The reversal of 996630656 is 656036699.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (996630659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471790 + ... + 1472466.

It is an arithmetic number, because the mean of its divisors is an integer number (18672120).

Almost surely, 2996630656 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 996630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195015680).

996630656 is an abundant number, since it is smaller than the sum of its proper divisors (1393400704).

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

996630656 is a wasteful number, since it uses less digits than its factorization.

996630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 50.

The square root of 996630656 is about 31569.4576450087. The cubic root of 996630656 is about 998.8756215803.

The spelling of 996630656 in words is "nine hundred ninety-six million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 64 106 112 124 128 212 217 224 248 371 424 434 448 496 677 742 848 868 896 992 1354 1484 1643 1696 1736 1984 2708 2968 3286 3392 3472 3968 4739 5416 5936 6572 6784 6944 9478 10832 11501 11872 13144 13888 18956 20987 21664 23002 23744 26288 27776 35881 37912 41974 43328 46004 47488 52576 71762 75824 83948 86656 92008 105152 143524 146909 151648 167896 184016 210304 251167 287048 293818 303296 335792 368032 502334 574096 587636 606592 671584 736064 1004668 1112311 1148192 1175272 1343168 1472128 2009336 2224622 2296384 2350544 2686336 4018672 4449244 4592768 4701088 7786177 8037344 8898488 9402176 15572354 16074688 17796976 18804352 31144708 32149376 35593952 62289416 71187904 124578832 142375808 249157664 498315328 996630656