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620960256000 = 212355372331
BaseRepresentation
bin10010000100101000001…
…11011001000000000000
32012100210210021101100000
421002110013121000000
540133211311143000
61153133141200000
762601655042050
oct11022407310000
92170723241300
10620960256000
1121a390970117
12a041a400000
1346730268156
14220a9ccd560
1511245069000
hex90941d9000

620960256000 has 2496 divisors, whose sum is σ = 2857683419136. Its totient is φ = 131383296000.

The previous prime is 620960255999. The next prime is 620960256073. The reversal of 620960256000 is 652069026.

620960256000 is a `hidden beast` number, since 6 + 2 + 0 + 96 + 0 + 2 + 560 + 0 + 0 = 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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20030975985 + ... + 20030976015.

It is an arithmetic number, because the mean of its divisors is an integer number (1144905216).

Almost surely, 2620960256000 is an apocalyptic number.

620960256000 is a gapful number since it is divisible by the number (60) 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 620960256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428841709568).

620960256000 is an abundant number, since it is smaller than the sum of its proper divisors (2236723163136).

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

620960256000 is an equidigital number, since it uses as much as digits as its factorization.

620960256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 620960256000 in words is "six hundred twenty billion, nine hundred sixty million, two hundred fifty-six thousand".