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612376805040 = 24357111319223307
BaseRepresentation
bin10001110100101001000…
…00000111111010110000
32011112122120222220011220
420322110200013322300
540013121430230130
61145153320105040
762146160646510
oct10722440077260
92145576886156
10612376805040
112167868183a0
129a823905180
1345992ba1ba0
14218d3d49840
1510de171e410
hex8e94807eb0

612376805040 has 1920 divisors, whose sum is σ = 2816171753472. Its totient is φ = 106092011520.

The previous prime is 612376805039. The next prime is 612376805093. The reversal of 612376805040 is 40508673216.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 612376804983 and 612376805001.

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 383 ways as a sum of consecutive naturals, for example, 1994712567 + ... + 1994712873.

Almost surely, 2612376805040 is an apocalyptic number.

612376805040 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 612376805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408085876736).

612376805040 is an abundant number, since it is smaller than the sum of its proper divisors (2203794948432).

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

612376805040 is a wasteful number, since it uses less digits than its factorization.

612376805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 612376805040 in words is "six hundred twelve billion, three hundred seventy-six million, eight hundred five thousand, forty".