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6056296275456 = 29327271727953
BaseRepresentation
bin101100000100001011101…
…1000110101111000000000
3210102222100200220122201100
41120020113120311320000
51243211243321303311
620514120223334400
71163360444650140
oct130102730657000
923388320818640
106056296275456
111a255083a6439
12819901451400
1334c14c690cab
1416d1aa812920
15a781148aa56
hex58217635e00

6056296275456 has 480 divisors, whose sum is σ = 20098221631488. Its totient is φ = 1719807344640.

The previous prime is 6056296275409. The next prime is 6056296275481. The reversal of 6056296275456 is 6545726926506.

6056296275456 is a `hidden beast` number, since 6 + 0 + 5 + 6 + 29 + 62 + 7 + 545 + 6 = 666.

It is a super-2 number, since 2×60562962754562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6056296275393 and 6056296275402.

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 47 ways as a sum of consecutive naturals, for example, 6354979876 + ... + 6354980828.

Almost surely, 26056296275456 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 6056296275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049110815744).

6056296275456 is an abundant number, since it is smaller than the sum of its proper divisors (14041925356032).

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

6056296275456 is a wasteful number, since it uses less digits than its factorization.

6056296275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 6056296275456 in words is "six trillion, fifty-six billion, two hundred ninety-six million, two hundred seventy-five thousand, four hundred fifty-six".