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5657156352 = 28328272969
BaseRepresentation
bin1010100010011000…
…10101101100000000
3112121020221022121100
411101030111230000
543041213000402
62333204254400
7260122015131
oct52114255400
915536838540
105657156352
112443354331
12111a6a1400
136c2049cc3
143b9485c88
152319b471c
hex151315b00

5657156352 has 108 divisors (see below), whose sum is σ = 16336199880. Its totient is φ = 1882804224.

The previous prime is 5657156341. The next prime is 5657156357. The reversal of 5657156352 is 2536517565.

5657156352 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 1 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5657156298 and 5657156307.

It is not an unprimeable number, because it can be changed into a prime (5657156357) 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, 1903924 + ... + 1906892.

It is an arithmetic number, because the mean of its divisors is an integer number (151261110).

Almost surely, 25657156352 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 5657156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168099940).

5657156352 is an abundant number, since it is smaller than the sum of its proper divisors (10679043528).

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

5657156352 is a wasteful number, since it uses less digits than its factorization.

5657156352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3801 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 5657156352 is about 75214.0701730733. The cubic root of 5657156352 is about 1781.8291544918.

The spelling of 5657156352 in words is "five billion, six hundred fifty-seven million, one hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 827 1152 1654 2304 2481 2969 3308 4962 5938 6616 7443 8907 9924 11876 13232 14886 17814 19848 23752 26464 26721 29772 35628 39696 47504 52928 53442 59544 71256 79392 95008 105856 106884 119088 142512 158784 190016 211712 213768 238176 285024 317568 380032 427536 476352 570048 635136 760064 855072 952704 1140096 1710144 1905408 2280192 2455363 3420288 4910726 6840576 7366089 9821452 14732178 19642904 22098267 29464356 39285808 44196534 58928712 78571616 88393068 117857424 157143232 176786136 235714848 314286464 353572272 471429696 628572928 707144544 942859392 1414289088 1885718784 2828578176 5657156352