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5657551900 = 22527111356519
BaseRepresentation
bin1010100010011011…
…10110010000011100
3112121021200102012021
411101031312100130
543041313130100
62333220545524
7260125253260
oct52115662034
915537612167
105657551900
1124435a4530
12111a8522a4
136c2158060
143b954a0a0
15231a41a1a
hex15137641c

5657551900 has 144 divisors (see below), whose sum is σ = 16483944960. Its totient is φ = 1627718400.

The previous prime is 5657551871. The next prime is 5657551909. The reversal of 5657551900 is 91557565.

It is a super-2 number, since 2×56575519002 = 64015787002387220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657551909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71841 + ... + 128359.

It is an arithmetic number, because the mean of its divisors is an integer number (114471840).

Almost surely, 25657551900 is an apocalyptic number.

5657551900 is a gapful number since it is divisible by the number (50) 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 5657551900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241972480).

5657551900 is an abundant number, since it is smaller than the sum of its proper divisors (10826393060).

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

5657551900 is a wasteful number, since it uses less digits than its factorization.

5657551900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56564 (or 56557 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 43.

The square root of 5657551900 is about 75216.6996085311. The cubic root of 5657551900 is about 1781.8706819830.

The spelling of 5657551900 in words is "five billion, six hundred fifty-seven million, five hundred fifty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 56519 100100 113038 226076 282595 395633 565190 621709 734747 791266 1130380 1243418 1412975 1469494 1582532 1978165 2486836 2825950 2938988 3108545 3673735 3956330 4351963 5143229 5651900 6217090 7347470 7912660 8082217 8703926 9890825 10286458 12434180 14694940 15542725 16164434 17407852 18368675 19781650 20572916 21759815 25716145 31085450 32328868 36737350 39563300 40411085 43519630 51432290 56575519 62170900 73474700 80822170 87039260 102864580 108799075 113151038 128580725 161644340 202055425 217598150 226302076 257161450 282877595 404110850 435196300 514322900 565755190 808221700 1131510380 1414387975 2828775950 5657551900