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51942900095232 = 2833718111009357
BaseRepresentation
bin10111100111101111001100…
…00110111101100100000000
320210220200201000110102010020
423303313212012331210000
523302013024411021412
6302250123333133440
713640515325636466
oct1363674606754400
9223820630412106
1051942900095232
1115606950a56333
1259aaa7018a280
1322ca26b302343
14cb809a842836
15601249ce718c
hex2f3de61bd900

51942900095232 has 144 divisors (see below), whose sum is σ = 142058724491712. Its totient is φ = 16837027061760.

The previous prime is 51942900095221. The next prime is 51942900095291. The reversal of 51942900095232 is 23259000924915.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 50956698 + ... + 51966054.

Almost surely, 251942900095232 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 51942900095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71029362245856).

51942900095232 is an abundant number, since it is smaller than the sum of its proper divisors (90115824396480).

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

51942900095232 is a wasteful number, since it uses less digits than its factorization.

51942900095232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011224 (or 1011210 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 51942900095232 in words is "fifty-one trillion, nine hundred forty-two billion, nine hundred million, ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 1811 2368 3552 3622 4736 5433 7104 7244 9472 10866 14208 14488 21732 28416 28976 43464 57952 67007 86928 115904 134014 173856 201021 231808 268028 347712 402042 463616 536056 695424 804084 1009357 1072112 1390848 1608168 2018714 2144224 3028071 3216336 4037428 4288448 6056142 6432672 8074856 8576896 12112284 12865344 16149712 17153792 24224568 25730688 32299424 37346209 48449136 51461376 64598848 74692418 96898272 112038627 129197696 149384836 193796544 224077254 258395392 298769672 387593088 448154508 597539344 775186176 896309016 1195078688 1792618032 1827945527 2390157376 3585236064 3655891054 4780314752 5483836581 7170472128 7311782108 9560629504 10967673162 14340944256 14623564216 21935346324 28681888512 29247128432 43870692648 58494256864 67633984499 87741385296 116988513728 135267968998 175482770592 202901953497 233977027456 270535937996 350965541184 405803906994 467954054912 541071875992 701931082368 811607813988 1082143751984 1403862164736 1623215627976 2164287503968 3246431255952 4328575007936 6492862511904 8657150015872 12985725023808 17314300031744 25971450047616 51942900095232