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675117453780 = 22345741131509
BaseRepresentation
bin10011101001100000010…
…00101101000111010100
32101112121002121002020000
421310300020231013110
542030120032010110
61234051130011300
766530016450000
oct11646010550724
92345532532200
10675117453780
11240352225410
12aaa13576b30
134b881378703
14249667b3700
15128648861c0
hex9d3022d1d4

675117453780 has 1200 divisors, whose sum is σ = 2787720122880. Its totient is φ = 135492134400.

The previous prime is 675117453767. The next prime is 675117453809. The reversal of 675117453780 is 87354711576.

675117453780 is a `hidden beast` number, since 6 + 7 + 5 + 117 + 453 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 399 ways as a sum of consecutive naturals, for example, 1326360166 + ... + 1326360674.

Almost surely, 2675117453780 is an apocalyptic number.

675117453780 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 675117453780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393860061440).

675117453780 is an abundant number, since it is smaller than the sum of its proper divisors (2112602669100).

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

675117453780 is a wasteful number, since it uses less digits than its factorization.

675117453780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 675117453780 in words is "six hundred seventy-five billion, one hundred seventeen million, four hundred fifty-three thousand, seven hundred eighty".