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34625406912 = 263750724023
BaseRepresentation
bin100000001111110101…
…011100011111000000
310022101002210220211020
4200033311130133000
51031403101010122
623523502345440
72334023050125
oct401765343700
9108332726736
1034625406912
1113759159778
126863b8b280
13335a739875
14196687a74c
15d79c39c5c
hex80fd5c7c0

34625406912 has 56 divisors (see below), whose sum is σ = 91629073536. Its totient is φ = 11539784448.

The previous prime is 34625406889. The next prime is 34625406967. The reversal of 34625406912 is 21960452643.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1429333 + ... + 1453355.

It is an arithmetic number, because the mean of its divisors is an integer number (1636233456).

Almost surely, 234625406912 is an apocalyptic number.

34625406912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34625406912 is an abundant number, since it is smaller than the sum of its proper divisors (57003666624).

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

34625406912 is a wasteful number, since it uses less digits than its factorization.

34625406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31545 (or 31535 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 34625406912 in words is "thirty-four billion, six hundred twenty-five million, four hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 7507 15014 22521 24023 30028 45042 48046 60056 72069 90084 96092 120112 144138 180168 192184 240224 288276 360336 384368 480448 576552 720672 768736 1153104 1441344 1537472 2306208 4612416 180340661 360681322 541021983 721362644 1082043966 1442725288 2164087932 2885450576 4328175864 5770901152 8656351728 11541802304 17312703456 34625406912