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5457768192 = 28326773499
BaseRepresentation
bin1010001010100111…
…01110111100000000
3112002100202100110200
411011103232330000
542134142040232
62301322525200
7252151156422
oct50523567400
915070670420
105457768192
11235084a028
121083966800
1368c948346
1439abc2812
1521e22b77c
hex1454eef00

5457768192 has 108 divisors (see below), whose sum is σ = 15763839000. Its totient is φ = 1816049664.

The previous prime is 5457768157. The next prime is 5457768193. The reversal of 5457768192 is 2918677545.

5457768192 is a `hidden beast` number, since 5 + 4 + 577 + 68 + 1 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5457768193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558059 + ... + 1561557.

Almost surely, 25457768192 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 5457768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881919500).

5457768192 is an abundant number, since it is smaller than the sum of its proper divisors (10306070808).

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

5457768192 is a wasteful number, since it uses less digits than its factorization.

5457768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4181 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5457768192 is about 73876.7094015428. The cubic root of 5457768192 is about 1760.6445848342.

The spelling of 5457768192 in words is "five billion, four hundred fifty-seven million, seven hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 677 768 1152 1354 2031 2304 2708 3499 4062 5416 6093 6998 8124 10497 10832 12186 13996 16248 20994 21664 24372 27992 31491 32496 41988 43328 48744 55984 62982 64992 83976 86656 97488 111968 125964 129984 167952 173312 194976 223936 251928 259968 335904 389952 447872 503856 519936 671808 779904 895744 1007712 1343616 1559808 2015424 2368823 2687232 4030848 4737646 7106469 8061696 9475292 14212938 18950584 21319407 28425876 37901168 42638814 56851752 75802336 85277628 113703504 151604672 170555256 227407008 303209344 341110512 454814016 606418688 682221024 909628032 1364442048 1819256064 2728884096 5457768192