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51042444024 = 2331113388003
BaseRepresentation
bin101111100010010111…
…011110001011111000
311212202020100210222210
4233202113132023320
51314013331202044
635240520415120
73454610421105
oct574227361370
9155666323883
1051042444024
111a713146740
129a860174a0
134a75a1b000
142682d69aac
1514db15c1b9
hexbe25de2f8

51042444024 has 128 divisors (see below), whose sum is σ = 150803654400. Its totient is φ = 14277444480.

The previous prime is 51042443957. The next prime is 51042444029. The reversal of 51042444024 is 42044424015.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51042443982 and 51042444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51042444029) 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, 536007 + ... + 624009.

It is an arithmetic number, because the mean of its divisors is an integer number (1178153550).

Almost surely, 251042444024 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 51042444024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401827200).

51042444024 is an abundant number, since it is smaller than the sum of its proper divisors (99761210376).

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

51042444024 is a wasteful number, since it uses less digits than its factorization.

51042444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88062 (or 88032 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 51042444024 its reverse (42044424015), we get a palindrome (93086868039).

The spelling of 51042444024 in words is "fifty-one billion, forty-two million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 429 507 572 676 858 1014 1144 1352 1716 1859 2028 2197 3432 3718 4056 4394 5577 6591 7436 8788 11154 13182 14872 17576 22308 24167 26364 44616 48334 52728 72501 88003 96668 145002 176006 193336 264009 290004 352012 528018 580008 704024 968033 1056036 1144039 1936066 2112072 2288078 2904099 3432117 3872132 4576156 5808198 6864234 7744264 9152312 11616396 12584429 13728468 14872507 23232792 25168858 27456936 29745014 37753287 44617521 50337716 59490028 75506574 89235042 100675432 118980056 151013148 163597577 178470084 193342591 302026296 327195154 356940168 386685182 490792731 580027773 654390308 773370364 981585462 1160055546 1308780616 1546740728 1963170924 2126768501 2320111092 3926341848 4253537002 4640222184 6380305503 8507074004 12760611006 17014148008 25521222012 51042444024