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168239296512 = 2123772683
BaseRepresentation
bin1001110010101111010…
…1111111000000000000
3121002020212220210000000
42130223311333000000
510224023224442022
6205142120000000
715104061265560
oct2345365770000
9532225823000
10168239296512
1165393773621
1228733000000
1312b322455c1
1481ddcacda0
154599ea56ac
hex272bd7f000

168239296512 has 416 divisors, whose sum is σ = 576877058560. Its totient is φ = 48050454528.

The previous prime is 168239296501. The next prime is 168239296513. The reversal of 168239296512 is 215692932861.

168239296512 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 39 + 2 + 96 + 512 = 666.

It is a super-2 number, since 2×1682392965122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168239296513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62704323 + ... + 62707005.

Almost surely, 2168239296512 is an apocalyptic number.

168239296512 is a gapful number since it is divisible by the number (12) 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 168239296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288438529280).

168239296512 is an abundant number, since it is smaller than the sum of its proper divisors (408637762048).

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

168239296512 is an frugal number, since it uses more digits than its factorization.

168239296512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2695 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 168239296512 in words is "one hundred sixty-eight billion, two hundred thirty-nine million, two hundred ninety-six thousand, five hundred twelve".