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53130755840 = 2851071133433
BaseRepresentation
bin110001011110110101…
…101111111100000000
312002010202220001020212
4301132311233330000
51332302433141330
640224040253252
73560425654541
oct613665577400
9162122801225
1053130755840
1120594a21278
12a369471228
135019575a86
1428004524c8
1515ae666295
hexc5ed6ff00

53130755840 has 144 divisors (see below), whose sum is σ = 129628664928. Its totient is φ = 20861288448.

The previous prime is 53130755833. The next prime is 53130755851. The reversal of 53130755840 is 4855703135.

It is a super-2 number, since 2×531307558402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15474764 + ... + 15478196.

It is an arithmetic number, because the mean of its divisors is an integer number (900199062).

Almost surely, 253130755840 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 53130755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64814332464).

53130755840 is an abundant number, since it is smaller than the sum of its proper divisors (76497909088).

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

53130755840 is a wasteful number, since it uses less digits than its factorization.

53130755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 53130755840 in words is "fifty-three billion, one hundred thirty million, seven hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 113 128 160 214 226 256 320 428 452 535 565 640 856 904 1070 1130 1280 1712 1808 2140 2260 3424 3433 3616 4280 4520 6848 6866 7232 8560 9040 12091 13696 13732 14464 17120 17165 18080 24182 27392 27464 28928 34240 34330 36160 48364 54928 60455 68480 68660 72320 96728 109856 120910 136960 137320 144640 193456 219712 241820 274640 367331 386912 387929 439424 483640 549280 734662 773824 775858 878848 967280 1098560 1469324 1547648 1551716 1836655 1934560 1939645 2197120 2938648 3095296 3103432 3673310 3869120 3879290 4394240 5877296 6206864 7346620 7738240 7758580 11754592 12413728 14693240 15476480 15517160 23509184 24827456 29386480 31034320 41508403 47018368 49654912 58772960 62068640 83016806 94036736 99309824 117545920 124137280 166033612 207542015 235091840 248274560 332067224 415084030 470183680 496549120 664134448 830168060 1328268896 1660336120 2656537792 3320672240 5313075584 6641344480 10626151168 13282688960 26565377920 53130755840