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968940812752 = 241122350942751
BaseRepresentation
bin11100001100110010101…
…11110111100111010000
310102122000011002020100121
432012121113313213100
5111333342322002002
62021043020200024
7130001154005503
oct16063127674720
93378004066317
10968940812752
11343a1a912900
12137954399014
13704a8642533
1434c7b48513a
151a30eb69237
hexe1995f79d0

968940812752 has 120 divisors (see below), whose sum is σ = 2157501911040. Its totient is φ = 420441120000.

The previous prime is 968940812737. The next prime is 968940812753. The reversal of 968940812752 is 257218049869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968940812753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22643377 + ... + 22686127.

It is an arithmetic number, because the mean of its divisors is an integer number (17979182592).

Almost surely, 2968940812752 is an apocalyptic number.

968940812752 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968940812752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078750955520).

968940812752 is an abundant number, since it is smaller than the sum of its proper divisors (1188561098288).

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

968940812752 is a wasteful number, since it uses less digits than its factorization.

968940812752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43313 (or 43296 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 968940812752 in words is "nine hundred sixty-eight billion, nine hundred forty million, eight hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 509 968 1012 1018 1936 2024 2036 2783 4048 4072 5566 5599 8144 11132 11198 11707 22264 22396 23414 42751 44528 44792 46828 61589 85502 89584 93656 123178 128777 171004 187312 246356 257554 342008 470261 492712 515108 684016 940522 983273 985424 1030216 1416547 1881044 1966546 2060432 2833094 3762088 3933092 5172871 5666188 7524176 7866184 10345742 10816003 11332376 15732368 20691484 21632006 21760259 22664752 41382968 43264012 43520518 82765936 86528024 87041036 118976033 173056048 174082072 237952066 239362849 348164144 475904132 478725698 500485957 951808264 957451396 1000971914 1903616528 1914902792 2001943828 2632991339 3829805584 4003887656 5265982678 5505345527 8007775312 10531965356 11010691054 21063930712 22021382108 42127861424 44042764216 60558800797 88085528432 121117601594 242235203188 484470406376 968940812752