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129172855908096 = 2833711131929311093
BaseRepresentation
bin11101010111101101100110…
…001100001110011100000000
3121221100210201102110210211000
4131113231212030032130000
5113412332002103024341
61134421105113252000
736131300534011320
oct3527554614163400
9557323642423730
10129172855908096
113818199a6a3530
12125a2694104000
13570cc42b17290
1423c7ddcc07280
15ee013825c8b6
hex757b6630e700

129172855908096 has 4608 divisors, whose sum is σ = 577030422528000. Its totient is φ = 27389834035200.

The previous prime is 129172855908073. The next prime is 129172855908113. The reversal of 129172855908096 is 690809558271921.

129172855908096 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 7 + 28 + 5 + 590 + 8 + 0 + 9 + 6 = 666.

It is a super-3 number, since 3×1291728559080963 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 118181935326 + ... + 118181936418.

It is an arithmetic number, because the mean of its divisors is an integer number (125223616000).

Almost surely, 2129172855908096 is an apocalyptic number.

129172855908096 is a gapful number since it is divisible by the number (16) 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 129172855908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288515211264000).

129172855908096 is an abundant number, since it is smaller than the sum of its proper divisors (447857566619904).

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

129172855908096 is a wasteful number, since it uses less digits than its factorization.

129172855908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 129172855908096 in words is "one hundred twenty-nine trillion, one hundred seventy-two billion, eight hundred fifty-five million, nine hundred eight thousand, ninety-six".