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12172900008384 = 263267635949603
BaseRepresentation
bin1011000100100011100101…
…1000011000000111000000
31121002201101022221120112200
42301020321120120013000
53043420044400232014
641520053021153200
72364314544564423
oct261107130300700
947081338846480
1012172900008384
113973552787215
1214472336bb800
136a3b903bb45b
1430125886d9ba
151619a215ca09
hexb12396181c0

12172900008384 has 168 divisors, whose sum is σ = 35418470305920. Its totient is φ = 3996362506752.

The previous prime is 12172900008331. The next prime is 12172900008419. The reversal of 12172900008384 is 48380000927121.

It is a happy number.

12172900008384 is a `hidden beast` number, since 12 + 172 + 90 + 0 + 0 + 0 + 8 + 384 = 666.

It is a super-2 number, since 2×121729000083842 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245381727 + ... + 245431329.

Almost surely, 212172900008384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12172900008384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709235152960).

12172900008384 is an abundant number, since it is smaller than the sum of its proper divisors (23245570297536).

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

12172900008384 is a wasteful number, since it uses less digits than its factorization.

12172900008384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56047 (or 56034 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12172900008384 in words is "twelve trillion, one hundred seventy-two billion, nine hundred million, eight thousand, three hundred eighty-four".