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620120329920 = 263257137332413
BaseRepresentation
bin10010000011000100000…
…11010100111011000000
32012021122020210201100200
421001202003110323000
540130001301024140
61152513534445200
762542105556010
oct11014203247300
92167566721320
10620120329920
11219a9a83a233
12a0225063800
1346628246280
142202a52dc40
15111e6457030
hex90620d4ec0

620120329920 has 672 divisors, whose sum is σ = 2661219480192. Its totient is φ = 129042284544.

The previous prime is 620120329909. The next prime is 620120329943. The reversal of 620120329920 is 29923021026.

620120329920 is a `hidden beast` number, since 620 + 1 + 2 + 0 + 3 + 2 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19115634 + ... + 19148046.

It is an arithmetic number, because the mean of its divisors is an integer number (3960148036).

Almost surely, 2620120329920 is an apocalyptic number.

620120329920 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 620120329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330609740096).

620120329920 is an abundant number, since it is smaller than the sum of its proper divisors (2041099150272).

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

620120329920 is a wasteful number, since it uses less digits than its factorization.

620120329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32529 (or 32516 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 620120329920 in words is "six hundred twenty billion, one hundred twenty million, three hundred twenty-nine thousand, nine hundred twenty".