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8059471872 = 21132415443
BaseRepresentation
bin1111000000110000…
…11100100000000000
3202210200022120222020
413200120130200000
5113001211044442
63411422241440
7403502244354
oct74030344000
922720276866
108059471872
1134663a8561
12168b126280
139b596688a
14566549464
153228469ec
hex1e061c800

8059471872 has 96 divisors (see below), whose sum is σ = 21579798240. Its totient is φ = 2674851840.

The previous prime is 8059471841. The next prime is 8059471879. The reversal of 8059471872 is 2781749508.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8059471879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1477983 + ... + 1483425.

It is an arithmetic number, because the mean of its divisors is an integer number (224789565).

Almost surely, 28059471872 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 8059471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789899120).

8059471872 is an abundant number, since it is smaller than the sum of its proper divisors (13520326368).

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

8059471872 is a wasteful number, since it uses less digits than its factorization.

8059471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The square root of 8059471872 is about 89774.5613857289. The cubic root of 8059471872 is about 2004.9437588883.

The spelling of 8059471872 in words is "eight billion, fifty-nine million, four hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 384 482 512 723 768 964 1024 1446 1536 1928 2048 2892 3072 3856 5443 5784 6144 7712 10886 11568 15424 16329 21772 23136 30848 32658 43544 46272 61696 65316 87088 92544 123392 130632 174176 185088 246784 261264 348352 370176 493568 522528 696704 740352 1045056 1311763 1393408 1480704 2090112 2623526 2786816 3935289 4180224 5247052 5573632 7870578 8360448 10494104 11147264 15741156 16720896 20988208 31482312 33441792 41976416 62964624 83952832 125929248 167905664 251858496 335811328 503716992 671622656 1007433984 1343245312 2014867968 2686490624 4029735936 8059471872