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168704696160 = 253357111323001
BaseRepresentation
bin1001110100011110010…
…1010101111101100000
3121010110022122112022000
42131013211111331200
510231001400234120
6205300223044000
715121442154060
oct2350745257540
9533408575260
10168704696160
1165602448230
1228842a40600
1312ba77a4800
148245a193a0
1545c5c86990
hex2747955f60

168704696160 has 1152 divisors, whose sum is σ = 797415736320. Its totient is φ = 32348160000.

The previous prime is 168704696137. The next prime is 168704696179. The reversal of 168704696160 is 61696407861.

It is a happy number.

168704696160 is a `hidden beast` number, since 1 + 68 + 7 + 0 + 469 + 61 + 60 = 666.

168704696160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1687046961602 (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 junction number, because it is equal to n+sod(n) for n = 168704696097 and 168704696106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56214660 + ... + 56217660.

It is an arithmetic number, because the mean of its divisors is an integer number (692201160).

Almost surely, 2168704696160 is an apocalyptic number.

168704696160 is a gapful number since it is divisible by the number (10) 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 168704696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398707868160).

168704696160 is an abundant number, since it is smaller than the sum of its proper divisors (628711040160).

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

168704696160 is a wasteful number, since it uses less digits than its factorization.

168704696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 168704696160 in words is "one hundred sixty-eight billion, seven hundred four million, six hundred ninety-six thousand, one hundred sixty".