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168020676720 = 243251359304253
BaseRepresentation
bin1001110001111011010…
…0000001000001110000
3121001200122112202000200
42130132310001001300
510223101243123340
6205104310115200
715065465121231
oct2343664010160
9531618482020
10168020676720
1165291323306
122869194bb00
1312ac8b6c190
1481bcc41088
154585bbe330
hex271ed01070

168020676720 has 240 divisors, whose sum is σ = 617976384480. Its totient is φ = 40657803264.

The previous prime is 168020676623. The next prime is 168020676763. The reversal of 168020676720 is 27676020861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400114 + ... + 704366.

It is an arithmetic number, because the mean of its divisors is an integer number (2574901602).

Almost surely, 2168020676720 is an apocalyptic number.

168020676720 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 168020676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308988192240).

168020676720 is an abundant number, since it is smaller than the sum of its proper divisors (449955707760).

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

168020676720 is a wasteful number, since it uses less digits than its factorization.

168020676720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304344 (or 304335 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 168020676720 in words is "one hundred sixty-eight billion, twenty million, six hundred seventy-six thousand, seven hundred twenty".