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4959061056 = 26343492741
BaseRepresentation
bin1001001111001010…
…10100010001000000
3110210121100101220000
410213211110101000
540124004423211
62140025520000
7233614215645
oct44745242100
913717311800
104959061056
112115295a74
12b64943000
13610526871
14350885dcc
151e056b656
hex127954440

4959061056 has 140 divisors (see below), whose sum is σ = 14747709900. Its totient is φ = 1647682560.

The previous prime is 4959061021. The next prime is 4959061067. The reversal of 4959061056 is 6501609594.

It is a happy number.

4959061056 is a `hidden beast` number, since 4 + 9 + 590 + 6 + 1 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2561979456 + 2397081600 = 50616^2 + 48960^2 .

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, 1807846 + ... + 1810586.

It is an arithmetic number, because the mean of its divisors is an integer number (105340785).

Almost surely, 24959061056 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 4959061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373854950).

4959061056 is an abundant number, since it is smaller than the sum of its proper divisors (9788648844).

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

4959061056 is a wasteful number, since it uses less digits than its factorization.

4959061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4959061056 is about 70420.6010766736. The cubic root of 4959061056 is about 1705.2961770518.

The spelling of 4959061056 in words is "four billion, nine hundred fifty-nine million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 349 432 576 648 698 864 1047 1296 1396 1728 2094 2592 2741 2792 3141 4188 5184 5482 5584 6282 8223 8376 9423 10964 11168 12564 16446 16752 18846 21928 22336 24669 25128 28269 32892 33504 37692 43856 49338 50256 56538 65784 67008 74007 75384 87712 98676 100512 113076 131568 148014 150768 175424 197352 201024 222021 226152 263136 296028 301536 394704 444042 452304 526272 592056 603072 789408 888084 904608 956609 1184112 1578816 1776168 1809216 1913218 2368224 2869827 3552336 3826436 4736448 5739654 7104672 7652872 8609481 11479308 14209344 15305744 17218962 22958616 25828443 30611488 34437924 45917232 51656886 61222976 68875848 77485329 91834464 103313772 137751696 154970658 183668928 206627544 275503392 309941316 413255088 551006784 619882632 826510176 1239765264 1653020352 2479530528 4959061056