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157866703947072 = 2632274074138797
BaseRepresentation
bin100011111001010000110100…
…110011111000010101000000
3202200221220120000211010001200
4203321100310303320111000
5131142442002202301242
61315430543531101200
745152331043052541
oct4371206463702500
9680856500733050
10157866703947072
114633499088aa8a
121585775b8a1800
136a119c6758973
142adab099604c8
15133b71dead04c
hex8f9434cf8540

157866703947072 has 42 divisors (see below), whose sum is σ = 452496403155498. Its totient is φ = 52622234648832.

The previous prime is 157866703947059. The next prime is 157866703947097. The reversal of 157866703947072 is 270749307668751.

157866703947072 is a `hidden beast` number, since 1 + 5 + 7 + 86 + 6 + 7 + 0 + 3 + 9 + 470 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153298669755456 + 4568034191616 = 12381384^2 + 2137296^2 .

It is a super-2 number, since 2×1578667039470722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137037068823 + ... + 137037069974.

It is a 1-persistent number, because it is pandigital, but 2⋅157866703947072 = 315733407894144 is not.

Almost surely, 2157866703947072 is an apocalyptic number.

157866703947072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157866703947072 is an abundant number, since it is smaller than the sum of its proper divisors (294629699208426).

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

157866703947072 is a wasteful number, since it uses less digits than its factorization.

157866703947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274074138815 (or 274074138802 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 157866703947072 in words is "one hundred fifty-seven trillion, eight hundred sixty-six billion, seven hundred three million, nine hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 274074138797 548148277594 822222416391 1096296555188 1644444832782 2192593110376 2466667249173 3288889665564 4385186220752 4933334498346 6577779331128 8770372441504 9866668996692 13155558662256 17540744883008 19733337993384 26311117324512 39466675986768 52622234649024 78933351973536 157866703947072