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34927054464 = 27390955871
BaseRepresentation
bin100000100001110100…
…001000111010000000
310100011010102012110210
4200201310020322000
51033012311220324
624013435554120
72344345031061
oct404164107200
9110133365423
1034927054464
11138a3458a75
126928bbb940
1333a8093543
14199495c568
15d96471d29
hex821d08e80

34927054464 has 32 divisors (see below), whose sum is σ = 92774989440. Its totient is φ = 11642351360.

The previous prime is 34927054453. The next prime is 34927054499. The reversal of 34927054464 is 46445072943.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45477552 + ... + 45478319.

It is an arithmetic number, because the mean of its divisors is an integer number (2899218420).

Almost surely, 234927054464 is an apocalyptic number.

It is an amenable number.

34927054464 is an abundant number, since it is smaller than the sum of its proper divisors (57847934976).

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

34927054464 is an equidigital number, since it uses as much as digits as its factorization.

34927054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90955888 (or 90955876 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 34927054464 in words is "thirty-four billion, nine hundred twenty-seven million, fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 90955871 181911742 272867613 363823484 545735226 727646968 1091470452 1455293936 2182940904 2910587872 4365881808 5821175744 8731763616 11642351488 17463527232 34927054464