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5916071056 = 2472412672
BaseRepresentation
bin1011000001010000…
…00001010010010000
3120021022010112210211
411200220001102100
544104003233211
62415013533504
7266414526400
oct54050012220
916238115724
105916071056
112566516825
121191344294
1373389127c
14401a02800
152495a9e21
hex160a01490

5916071056 has 135 divisors (see below), whose sum is σ = 13873973337. Its totient is φ = 2436698880.

The previous prime is 5916071053. The next prime is 5916071089. The reversal of 5916071056 is 6501706195.

The square root of 5916071056 is 76916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 285069456 + 5631001600 = 16884^2 + 75040^2 .

It is not an unprimeable number, because it can be changed into a prime (5916071053) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88299535 + ... + 88299601.

Almost surely, 25916071056 is an apocalyptic number.

5916071056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5916071056 is the 76916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5916071056

5916071056 is an abundant number, since it is smaller than the sum of its proper divisors (7957902281).

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

5916071056 is an equidigital number, since it uses as much as digits as its factorization.

5916071056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The cubic root of 5916071056 is about 1808.6080540886.

The spelling of 5916071056 in words is "five billion, nine hundred sixteen million, seventy-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 67 82 98 112 134 164 196 268 287 328 392 469 536 574 656 784 938 1072 1148 1681 1876 2009 2296 2747 3283 3362 3752 4018 4489 4592 5494 6566 6724 7504 8036 8978 10988 11767 13132 13448 16072 17956 19229 21976 23534 26264 26896 31423 32144 35912 38458 43952 47068 52528 62846 71824 76916 82369 94136 112627 125692 134603 153832 164738 184049 188272 219961 225254 251384 269206 307664 329476 368098 439922 450508 502768 538412 658952 736196 788389 879844 901016 1076824 1288343 1317904 1472392 1576778 1759688 1802032 2153648 2576686 2944784 3153556 3519376 5153372 5518723 6307112 7546009 9018401 10306744 11037446 12614224 15092018 18036802 20613488 22074892 30184036 36073604 44149784 52822063 60368072 72147208 88299568 105644126 120736144 144294416 211288252 369754441 422576504 739508882 845153008 1479017764 2958035528 5916071056