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168974509680 = 243251737438677
BaseRepresentation
bin1001110101011110101…
…0100110011001110000
3121011011010100110212100
42131113222212121300
510232024433302210
6205343102100400
715131226430314
oct2352752463160
9534133313770
10168974509680
1165730784109
12288b927a700
1312c1b663792
14826d7b1b44
1545de7d15c0
hex2757aa6670

168974509680 has 480 divisors, whose sum is σ = 631516526784. Its totient is φ = 40298840064.

The previous prime is 168974509679. The next prime is 168974509709. The reversal of 168974509680 is 86905479861.

168974509680 is a `hidden beast` number, since 1 + 6 + 8 + 97 + 450 + 96 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19469502 + ... + 19478178.

Almost surely, 2168974509680 is an apocalyptic number.

168974509680 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 168974509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315758263392).

168974509680 is an abundant number, since it is smaller than the sum of its proper divisors (462542017104).

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

168974509680 is a wasteful number, since it uses less digits than its factorization.

168974509680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 168974509680 in words is "one hundred sixty-eight billion, nine hundred seventy-four million, five hundred nine thousand, six hundred eighty".