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68176153920 = 26357271137149
BaseRepresentation
bin111111011111100111…
…011000110101000000
320111222022110110101210
4333133213120311000
52104111043411140
651153015330120
74632316514100
oct773747306500
9214868413353
1068176153920
1126a05730566
1211268080940
1365766286a4
14342a6d3200
151b90446d80
hexfdf9d8d40

68176153920 has 672 divisors, whose sum is σ = 258936134400. Its totient is φ = 15149137920.

The previous prime is 68176153909. The next prime is 68176153937. The reversal of 68176153920 is 2935167186.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68176153920.

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, 457558006 + ... + 457558154.

Almost surely, 268176153920 is an apocalyptic number.

68176153920 is a gapful number since it is divisible by the number (60) 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 68176153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129468067200).

68176153920 is an abundant number, since it is smaller than the sum of its proper divisors (190759980480).

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

68176153920 is a wasteful number, since it uses less digits than its factorization.

68176153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 68176153920 in words is "sixty-eight billion, one hundred seventy-six million, one hundred fifty-three thousand, nine hundred twenty".