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23034149064 = 2333457233347
BaseRepresentation
bin10101011100111100…
…010011100011001000
32012110021211000022000
4111130330103203020
5334133220232224
614325353431000
71443544015353
oct253474234310
965407730260
1023034149064
1198501a4133
12456a10b460
132231187804
14118725b29a
158ec3080c9
hex55cf138c8

23034149064 has 64 divisors (see below), whose sum is σ = 64124030400. Its totient is φ = 7661215872.

The previous prime is 23034149009. The next prime is 23034149071. The reversal of 23034149064 is 46094143032.

It is a happy number.

23034149064 is a `hidden beast` number, since 230 + 3 + 414 + 9 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17962 + ... + 215385.

It is an arithmetic number, because the mean of its divisors is an integer number (1001937975).

Almost surely, 223034149064 is an apocalyptic number.

23034149064 is a gapful number since it is divisible by the number (24) 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 23034149064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062015200).

23034149064 is an abundant number, since it is smaller than the sum of its proper divisors (41089881336).

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

23034149064 is a wasteful number, since it uses less digits than its factorization.

23034149064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233819 (or 233809 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23034149064 in words is "twenty-three billion, thirty-four million, one hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 457 914 1371 1828 2742 3656 4113 5484 8226 10968 12339 16452 24678 32904 49356 98712 233347 466694 700041 933388 1400082 1866776 2100123 2800164 4200246 5600328 6300369 8400492 12600738 16800984 25201476 50402952 106639579 213279158 319918737 426558316 639837474 853116632 959756211 1279674948 1919512422 2559349896 2879268633 3839024844 5758537266 7678049688 11517074532 23034149064