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53929137171744 = 253215710391147931
BaseRepresentation
bin11000100001100010110110…
…00100000110110100100000
321001221120112021221022100100
430100301123010012310200
524032033333103443434
6310410411551022400
714234152202344302
oct1420613304066440
9231846467838310
1053929137171744
1116202245004a8a
12606b9b2b0aa00
13241265a3c3ab3
14d462814cd972
15637c498c1699
hex310c5b106d20

53929137171744 has 144 divisors (see below), whose sum is σ = 154486484530560. Its totient is φ = 17844672867840.

The previous prime is 53929137171739. The next prime is 53929137171751. The reversal of 53929137171744 is 44717173192935.

It is a happy number.

53929137171744 is a `hidden beast` number, since 5 + 3 + 9 + 2 + 91 + 371 + 7 + 174 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46405459 + ... + 47553389.

It is an arithmetic number, because the mean of its divisors is an integer number (1072822809240).

Almost surely, 253929137171744 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 53929137171744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77243242265280).

53929137171744 is an abundant number, since it is smaller than the sum of its proper divisors (100557347358816).

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

53929137171744 is a wasteful number, since it uses less digits than its factorization.

53929137171744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149143 (or 1149132 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 53929137171744 in words is "fifty-three trillion, nine hundred twenty-nine billion, one hundred thirty-seven million, one hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1039 1256 1413 1884 2078 2512 2826 3117 3768 4156 5024 5652 6234 7536 8312 9351 11304 12468 15072 16624 18702 22608 24936 33248 37404 45216 49872 74808 99744 149616 163123 299232 326246 489369 652492 978738 1147931 1304984 1468107 1957476 2295862 2609968 2936214 3443793 3914952 4591724 5219936 5872428 6887586 7829904 9183448 10331379 11744856 13775172 15659808 18366896 20662758 23489712 27550344 36733792 41325516 46979424 55100688 82651032 110201376 165302064 180225167 330604128 360450334 540675501 720900668 1081351002 1192700309 1441801336 1622026503 2162702004 2385400618 2883602672 3244053006 3578100927 4325404008 4770801236 5767205344 6488106012 7156201854 8650808016 9541602472 10734302781 12976212024 14312403708 17301616032 19083204944 21468605562 25952424048 28624807416 38166409888 42937211124 51904848096 57249614832 85874422248 114499229664 171748844496 187253948513 343497688992 374507897026 561761845539 749015794052 1123523691078 1498031588104 1685285536617 2247047382156 2996063176208 3370571073234 4494094764312 5992126352416 6741142146468 8988189528624 13482284292936 17976379057248 26964568585872 53929137171744