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1608600913920 = 2113257211134753
BaseRepresentation
bin10111011010001000000…
…101100000100000000000
312200210002011102011210200
4113122020011200200000
5202323403313221140
63230551524125200
7224134426110600
oct27321005404000
95623064364720
101608600913920
11570227309410
1221b911236800
13b88c8ac4a10
1457bdcad8c00
152bc9b72d030
hex17688160800

1608600913920 has 3456 divisors, whose sum is σ = 7928073054720. Its totient is φ = 296280391680.

The previous prime is 1608600913901. The next prime is 1608600913961. The reversal of 1608600913920 is 293190068061.

It is a happy number.

1608600913920 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 600 + 9 + 1 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30350960614 + ... + 30350960666.

It is an arithmetic number, because the mean of its divisors is an integer number (2294002620).

Almost surely, 21608600913920 is an apocalyptic number.

1608600913920 is a gapful number since it is divisible by the number (10) 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 1608600913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964036527360).

1608600913920 is an abundant number, since it is smaller than the sum of its proper divisors (6319472140800).

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

1608600913920 is a wasteful number, since it uses less digits than its factorization.

1608600913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1608600913920 in words is "one trillion, six hundred eight billion, six hundred million, nine hundred thirteen thousand, nine hundred twenty".