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52526413216 = 2519834392371
BaseRepresentation
bin110000111010110100…
…010111010110100000
312000120122201021000201
4300322310113112200
51330033230210331
640044051154544
73536440100644
oct607264272640
9160518637021
1052526413216
1120304877762
12a21aba5a54
134c512b96a4
142784098c24
15157658ba61
hexc3ad175a0

52526413216 has 96 divisors (see below), whose sum is σ = 110463091200. Its totient is φ = 24514824960.

The previous prime is 52526413207. The next prime is 52526413229. The reversal of 52526413216 is 61231462525.

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 15 ways as a sum of consecutive naturals, for example, 22152511 + ... + 22154881.

It is an arithmetic number, because the mean of its divisors is an integer number (1150657200).

Almost surely, 252526413216 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 52526413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55231545600).

52526413216 is an abundant number, since it is smaller than the sum of its proper divisors (57936677984).

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

52526413216 is a wasteful number, since it uses less digits than its factorization.

52526413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The spelling of 52526413216 in words is "fifty-two billion, five hundred twenty-six million, four hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 83 152 166 304 332 439 608 664 878 1328 1577 1756 2371 2656 3154 3512 4742 6308 7024 8341 9484 12616 14048 16682 18968 25232 33364 36437 37936 45049 50464 66728 72874 75872 90098 133456 145748 180196 196793 266912 291496 360392 393586 582992 692303 720784 787172 1040869 1165984 1384606 1441568 1574344 2081738 2769212 3148688 3739067 4163476 5538424 6297376 7478134 8326952 11076848 14956268 16653904 19776511 22153696 29912536 33307808 39553022 59825072 79106044 86392127 119650144 158212088 172784254 316424176 345568508 632848352 691137016 1382274032 1641450413 2764548064 3282900826 6565801652 13131603304 26263206608 52526413216