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70682677467912 = 233417197257126733
BaseRepresentation
bin10000000100100100010111…
…111000011101101100001000
3100021021012100022201100210000
4100010210113320131230020
533231031110412433122
6410155101310523000
720613440432252406
oct2004442770355410
9307235308640700
1070682677467912
112058139a811aa4
127b16939806460
13305946a3c3953
1413650ba2d0476
15828942e160ac
hex404917e1db08

70682677467912 has 320 divisors, whose sum is σ = 211508182361520. Its totient is φ = 21976375099392.

The previous prime is 70682677467877. The next prime is 70682677467931. The reversal of 70682677467912 is 21976477628607.

70682677467912 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 2 + 6 + 77 + 467 + 91 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70377569269956 + 305108197956 = 8389134^2 + 552366^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 557665698 + ... + 557792430.

Almost surely, 270682677467912 is an apocalyptic number.

70682677467912 is a gapful number since it is divisible by the number (72) 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 70682677467912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105754091180760).

70682677467912 is an abundant number, since it is smaller than the sum of its proper divisors (140825504893608).

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

70682677467912 is a wasteful number, since it uses less digits than its factorization.

70682677467912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127222 (or 127209 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 70682677467912 in words is "seventy trillion, six hundred eighty-two billion, six hundred seventy-seven million, four hundred sixty-seven thousand, nine hundred twelve".