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158668374299904 = 28337197912717203
BaseRepresentation
bin100100000100111011011100…
…000101100101010100000000
3202210210112210211000120101000
4210010323130011211110000
5131244110312310044104
61321243124521012000
745264261141451110
oct4404733405452400
9683715724016330
10158668374299904
11466139748a8567
1215966bb1624000
136a6c4957a13a1
142b27839a91040
1513524ddc49639
hex904edc165500

158668374299904 has 1152 divisors, whose sum is σ = 576142966784000. Its totient is φ = 42067850452992.

The previous prime is 158668374299833. The next prime is 158668374299951. The reversal of 158668374299904 is 409992473866851.

It is a happy number.

158668374299904 is a `hidden beast` number, since 1 + 5 + 86 + 68 + 374 + 29 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9223288167 + ... + 9223305369.

It is a 1-persistent number, because it is pandigital, but 2⋅158668374299904 = 317336748599808 is not.

Almost surely, 2158668374299904 is an apocalyptic number.

158668374299904 is a gapful number since it is divisible by the number (14) 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 158668374299904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288071483392000).

158668374299904 is an abundant number, since it is smaller than the sum of its proper divisors (417474592484096).

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

158668374299904 is a wasteful number, since it uses less digits than its factorization.

158668374299904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17460 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 158668374299904 in words is "one hundred fifty-eight trillion, six hundred sixty-eight billion, three hundred seventy-four million, two hundred ninety-nine thousand, nine hundred four".