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23034826272 = 2533124132117
BaseRepresentation
bin10101011100111110…
…111000111000100000
32012110100002102020210
4111130332320320200
5334133403420042
614325420134120
71443552535623
oct253476707040
965410072223
1023034826272
119850616a07
12456a397340
132231363b23
141187395dba
158ec3dda9c
hex55cfb8e20

23034826272 has 96 divisors (see below), whose sum is σ = 62677891584. Its totient is φ = 7399526400.

The previous prime is 23034826211. The next prime is 23034826273. The reversal of 23034826272 is 27262843032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 23034826272.

It is not an unprimeable number, because it can be changed into a prime (23034826273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701158 + ... + 733274.

It is an arithmetic number, because the mean of its divisors is an integer number (652894704).

Almost surely, 223034826272 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 23034826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31338945792).

23034826272 is an abundant number, since it is smaller than the sum of its proper divisors (39643065312).

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

23034826272 is a wasteful number, since it uses less digits than its factorization.

23034826272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32402 (or 32394 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 23034826272 in words is "twenty-three billion, thirty-four million, eight hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 241 248 372 482 496 723 744 964 992 1446 1488 1928 2892 2976 3856 5784 7471 7712 11568 14942 22413 23136 29884 32117 44826 59768 64234 89652 96351 119536 128468 179304 192702 239072 256936 358608 385404 513872 717216 770808 995627 1027744 1541616 1991254 2986881 3083232 3982508 5973762 7740197 7965016 11947524 15480394 15930032 23220591 23895048 30960788 31860064 46441182 47790096 61921576 92882364 95580192 123843152 185764728 239946107 247686304 371529456 479892214 719838321 743058912 959784428 1439676642 1919568856 2879353284 3839137712 5758706568 7678275424 11517413136 23034826272