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56573568300 = 223522913149639
BaseRepresentation
bin110100101100000011…
…000010010100101100
312102000201011001002110
4310230003002110230
51411330313141200
641553423524020
74041642252624
oct645403022454
9172021131073
1056573568300
1121aa1339227
12ab6a459610
13544790b602
142a497a5884
151711a28b50
hexd2c0c252c

56573568300 has 144 divisors (see below), whose sum is σ = 170626579200. Its totient is φ = 14454585600.

The previous prime is 56573568241. The next prime is 56573568353. The reversal of 56573568300 is 386537565.

It is a self number, because there is not a number n which added to its sum of digits gives 56573568300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114881 + ... + 1164519.

It is an arithmetic number, because the mean of its divisors is an integer number (1184906800).

Almost surely, 256573568300 is an apocalyptic number.

56573568300 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 56573568300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85313289600).

56573568300 is an abundant number, since it is smaller than the sum of its proper divisors (114053010900).

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

56573568300 is a wasteful number, since it uses less digits than its factorization.

56573568300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49816 (or 49809 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 56573568300 in words is "fifty-six billion, five hundred seventy-three million, five hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 131 145 150 174 262 290 300 348 393 435 524 580 655 725 786 870 1310 1450 1572 1740 1965 2175 2620 2900 3275 3799 3930 4350 6550 7598 7860 8700 9825 11397 13100 15196 18995 19650 22794 37990 39300 45588 49639 56985 75980 94975 99278 113970 148917 189950 198556 227940 248195 284925 297834 379900 496390 569850 595668 744585 992780 1139700 1240975 1439531 1489170 2481950 2879062 2978340 3722925 4318593 4963900 5758124 6502709 7197655 7445850 8637186 13005418 14395310 14891700 17274372 19508127 21592965 26010836 28790620 32513545 35988275 39016254 43185930 65027090 71976550 78032508 86371860 97540635 107964825 130054180 143953100 162567725 188578561 195081270 215929650 325135450 377157122 390162540 431859300 487703175 565735683 650270900 754314244 942892805 975406350 1131471366 1885785610 1950812700 2262942732 2828678415 3771571220 4714464025 5657356830 9428928050 11314713660 14143392075 18857856100 28286784150 56573568300