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608109308352 = 263372131134889
BaseRepresentation
bin10001101100101100010…
…00111010100111000000
32011010122011221121021000
420312112020322213000
534430401440331402
61143210032532000
761635341556300
oct10662610724700
92133564847230
10608109308352
1121499693aa27
1299a326b1000
1345462a22c10
142160b283600
1510c41c5ac1c
hex8d9623a9c0

608109308352 has 672 divisors, whose sum is σ = 2259853646400. Its totient is φ = 158928666624.

The previous prime is 608109308347. The next prime is 608109308383. The reversal of 608109308352 is 253803901806.

It is a happy number.

608109308352 is a `hidden beast` number, since 608 + 1 + 0 + 9 + 3 + 0 + 8 + 35 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 608109308298 and 608109308307.

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 95 ways as a sum of consecutive naturals, for example, 124380724 + ... + 124385612.

It is an arithmetic number, because the mean of its divisors is an integer number (3362877450).

Almost surely, 2608109308352 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 608109308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129926823200).

608109308352 is an abundant number, since it is smaller than the sum of its proper divisors (1651744338048).

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

608109308352 is a wasteful number, since it uses less digits than its factorization.

608109308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 608109308352 in words is "six hundred eight billion, one hundred nine million, three hundred eight thousand, three hundred fifty-two".