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5757616680 = 23352311318461
BaseRepresentation
bin1010101110010111…
…00100001000101000
3112212020222020021020
411113023210020220
543242422213210
62351153412440
7262451635314
oct52713441050
915766866236
105757616680
11249502a6a2
12114826a120
13709ac219a
143c8956b44
1523a70a770
hex1572e4228

5757616680 has 128 divisors (see below), whose sum is σ = 18184331520. Its totient is φ = 1455534080.

The previous prime is 5757616643. The next prime is 5757616687. The reversal of 5757616680 is 866167575.

It is not an unprimeable number, because it can be changed into a prime (5757616687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302650 + ... + 321110.

It is an arithmetic number, because the mean of its divisors is an integer number (142065090).

Almost surely, 25757616680 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 5757616680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092165760).

5757616680 is an abundant number, since it is smaller than the sum of its proper divisors (12426714840).

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

5757616680 is a wasteful number, since it uses less digits than its factorization.

5757616680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18611 (or 18607 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 5757616680 is about 75878.9607203472. The cubic root of 5757616680 is about 1792.3146279051.

The spelling of 5757616680 in words is "five billion, seven hundred fifty-seven million, six hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 113 115 120 138 184 226 230 276 339 345 452 460 552 565 678 690 904 920 1130 1356 1380 1695 2260 2599 2712 2760 3390 4520 5198 6780 7797 10396 12995 13560 15594 18461 20792 25990 31188 36922 38985 51980 55383 62376 73844 77970 92305 103960 110766 147688 155940 184610 221532 276915 311880 369220 424603 443064 553830 738440 849206 1107660 1273809 1698412 2086093 2123015 2215320 2547618 3396824 4172186 4246030 5095236 6258279 6369045 8344372 8492060 10190472 10430465 12516558 12738090 16688744 16984120 20860930 25033116 25476180 31291395 41721860 47980139 50066232 50952360 62582790 83443720 95960278 125165580 143940417 191920556 239900695 250331160 287880834 383841112 479801390 575761668 719702085 959602780 1151523336 1439404170 1919205560 2878808340 5757616680