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5753617320 = 23351110939989
BaseRepresentation
bin1010101101111000…
…10011101110101000
3112211222110001011210
411112330103232220
543240411223240
62350531553120
7262402640343
oct52674235650
915758401153
105753617320
112492848940
121146a5b7a0
137090219b9
143c81d545a
1523a1ba780
hex156f13ba8

5753617320 has 128 divisors (see below), whose sum is σ = 19003248000. Its totient is φ = 1381985280.

The previous prime is 5753617277. The next prime is 5753617339. The reversal of 5753617320 is 237163575.

It is a super-2 number, since 2×57536173202 = 66208224530007964800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123886 + ... + 163874.

It is an arithmetic number, because the mean of its divisors is an integer number (148462875).

Almost surely, 25753617320 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 5753617320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9501624000).

5753617320 is an abundant number, since it is smaller than the sum of its proper divisors (13249630680).

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

5753617320 is a wasteful number, since it uses less digits than its factorization.

5753617320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40123 (or 40119 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 5753617320 is about 75852.6025921326. The cubic root of 5753617320 is about 1791.8995388051.

The spelling of 5753617320 in words is "five billion, seven hundred fifty-three million, six hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 165 218 220 264 327 330 436 440 545 654 660 872 1090 1199 1308 1320 1635 2180 2398 2616 3270 3597 4360 4796 5995 6540 7194 9592 11990 13080 14388 17985 23980 28776 35970 39989 47960 71940 79978 119967 143880 159956 199945 239934 319912 399890 439879 479868 599835 799780 879758 959736 1199670 1319637 1599560 1759516 2199395 2399340 2639274 3519032 4358801 4398790 4798680 5278548 6598185 8717602 8797580 10557096 13076403 13196370 17435204 17595160 21794005 26152806 26392740 34870408 43588010 47946811 52305612 52785480 65382015 87176020 95893622 104611224 130764030 143840433 174352040 191787244 239734055 261528060 287680866 383574488 479468110 523056120 575361732 719202165 958936220 1150723464 1438404330 1917872440 2876808660 5753617320