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52739868104 = 237111275231289
BaseRepresentation
bin110001000111100010…
…101000010111001000
312001010112100220002022
4301013202220113020
51331002401234404
640121154224012
73544641324260
oct610742502710
9161115326068
1052739868104
112040430a560
12a27a585008
134c865a4c61
1427a45807a0
15158a1a28be
hexc478a85c8

52739868104 has 128 divisors (see below), whose sum is σ = 124592947200. Its totient is φ = 20331440640.

The previous prime is 52739868059. The next prime is 52739868121. The reversal of 52739868104 is 40186893725.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40914692 + ... + 40915980.

It is an arithmetic number, because the mean of its divisors is an integer number (973382400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅52739868104 = 105479736208, but 3⋅52739868104 = 158219604312 is not.

Almost surely, 252739868104 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 52739868104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62296473600).

52739868104 is an abundant number, since it is smaller than the sum of its proper divisors (71853079096).

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

52739868104 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (52739868103) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1959).

52739868104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 52739868104 in words is "fifty-two billion, seven hundred thirty-nine million, eight hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 154 254 308 508 523 616 889 1016 1046 1289 1397 1778 2092 2578 2794 3556 3661 4184 5156 5588 5753 7112 7322 9023 9779 10312 11176 11506 14179 14644 18046 19558 23012 28358 29288 36092 39116 40271 46024 56716 66421 72184 78232 80542 99253 113432 132842 161084 163703 198506 265684 322168 327406 397012 464947 531368 654812 674147 730631 794024 929894 1145921 1309624 1348294 1461262 1800733 1859788 2291842 2696588 2922524 3601466 3719576 4583684 4719029 5114417 5393176 5845048 7202932 7415617 9167368 9438058 10228834 12605131 14405864 14831234 18876116 20457668 25210262 29662468 37752232 40915336 50420524 51909319 59324936 85616669 100841048 103818638 171233338 207637276 342466676 415274552 599316683 684933352 941783359 1198633366 1883566718 2397266732 3767133436 4794533464 6592483513 7534266872 13184967026 26369934052 52739868104