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4956696576 = 212321310343
BaseRepresentation
bin1001001110111000…
…10011000000000000
3110210102220021102200
410213130103000000
540122403242301
62135503113200
7233555140266
oct44734230000
913712807380
104956696576
112113a20557
12b63ba2800
1360cba9570
1435042c436
151e0250c86
hex127713000

4956696576 has 156 divisors (see below), whose sum is σ = 15420442128. Its totient is φ = 1524989952.

The previous prime is 4956696553. The next prime is 4956696593. The reversal of 4956696576 is 6756966594.

4956696576 is a `hidden beast` number, since 4 + 9 + 56 + 6 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

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 11 ways as a sum of consecutive naturals, for example, 474061 + ... + 484403.

It is an arithmetic number, because the mean of its divisors is an integer number (98848988).

Almost surely, 24956696576 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 4956696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710221064).

4956696576 is an abundant number, since it is smaller than the sum of its proper divisors (10463745552).

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

4956696576 is a wasteful number, since it uses less digits than its factorization.

4956696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10361 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The square root of 4956696576 is about 70403.8108059500. The cubic root of 4956696576 is about 1705.0251055949.

The spelling of 4956696576 in words is "four billion, nine hundred fifty-six million, six hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 9216 9984 10343 12288 13312 14976 18432 19968 20686 26624 29952 31029 36864 39936 41372 53248 59904 62058 79872 82744 93087 119808 124116 134459 159744 165488 186174 239616 248232 268918 330976 372348 403377 479232 496464 537836 661952 744696 806754 992928 1075672 1210131 1323904 1489392 1613508 1985856 2151344 2420262 2647808 2978784 3227016 3971712 4302688 4840524 5295616 5957568 6454032 7943424 8605376 9681048 10591232 11915136 12908064 15886848 17210752 19362096 21182464 23830272 25816128 31773696 34421504 38724192 42364928 47660544 51632256 63547392 68843008 77448384 95321088 103264512 127094784 137686016 154896768 190642176 206529024 275372032 309793536 381284352 413058048 550744064 619587072 826116096 1239174144 1652232192 2478348288 4956696576