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70336164292992 = 27321373511312583
BaseRepresentation
bin11111111111000011010100…
…00101100110100110000000
3100020001001221020001020012200
433333201222011212212000
533204341431024333432
6405331553210553200
720546422502002053
oct1777415205464600
9306031836036180
1070336164292992
11204584440a0a74
127a7b753138800
13303289702ac40
14135240798aa9a
1581e91206aa7c
hex3ff86a166980

70336164292992 has 384 divisors, whose sum is σ = 221015494539840. Its totient is φ = 21339561590784.

The previous prime is 70336164292907. The next prime is 70336164292997. The reversal of 70336164292992 is 29929246163307.

70336164292992 is a `hidden beast` number, since 7 + 0 + 3 + 3 + 616 + 4 + 2 + 9 + 2 + 9 + 9 + 2 = 666.

70336164292992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×703361642929923 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70336164292997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5589770733 + ... + 5589783315.

Almost surely, 270336164292992 is an apocalyptic number.

70336164292992 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 70336164292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110507747269920).

70336164292992 is an abundant number, since it is smaller than the sum of its proper divisors (150679330246848).

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

70336164292992 is a wasteful number, since it uses less digits than its factorization.

70336164292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17802 (or 17787 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 70336164292992 in words is "seventy trillion, three hundred thirty-six billion, one hundred sixty-four million, two hundred ninety-two thousand, nine hundred ninety-two".