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5056966656 = 21232719597
BaseRepresentation
bin1001011010110101…
…10011000000000000
3111001102120112010100
410231122303000000
540324040413111
62153444202400
7236213336010
oct45532630000
914042515110
105056966656
112165586995
12b91699400
136278b5c81
1435d88dc40
151e8e5a756
hex12d6b3000

5056966656 has 156 divisors (see below), whose sum is σ = 16694830672. Its totient is φ = 1444773888.

The previous prime is 5056966643. The next prime is 5056966687. The reversal of 5056966656 is 6566696505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248250 + ... + 267846.

Almost surely, 25056966656 is an apocalyptic number.

5056966656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347415336).

5056966656 is an abundant number, since it is smaller than the sum of its proper divisors (11637864016).

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

5056966656 is a wasteful number, since it uses less digits than its factorization.

5056966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19634 (or 19609 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The square root of 5056966656 is about 71112.3523447228. The cubic root of 5056966656 is about 1716.4455458721.

The spelling of 5056966656 in words is "five billion, fifty-six million, nine hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 19597 21504 28672 32256 36864 39194 43008 58791 64512 78388 86016 117582 129024 137179 156776 176373 235164 258048 274358 313552 352746 411537 470328 548716 627104 705492 823074 940656 1097432 1234611 1254208 1410984 1646148 1881312 2194864 2469222 2508416 2821968 3292296 3762624 4389728 4938444 5016832 5643936 6584592 7525248 8779456 9876888 10033664 11287872 13169184 15050496 17558912 19753776 20067328 22575744 26338368 30100992 35117824 39507552 40134656 45151488 52676736 60201984 70235648 79015104 80269312 90302976 105353472 120403968 140471296 158030208 180605952 210706944 240807936 280942592 316060416 361211904 421413888 561885184 632120832 722423808 842827776 1264241664 1685655552 2528483328 5056966656