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157306648608 = 2532233712
BaseRepresentation
bin1001001010000000110…
…1001111100000100000
3120001000222012201110200
42102200031033200200
510034131000223413
6200133215225200
714236130310534
oct2224015174040
9501028181420
10157306648608
116079355841a
12265a1818200
1311aac270485
147883d31bc4
15415a2bc573
hex24a034f820

157306648608 has 54 divisors (see below), whose sum is σ = 447359923647. Its totient is φ = 52433305920.

The previous prime is 157306648601. The next prime is 157306648627. The reversal of 157306648608 is 806846603751.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

157306648608 is a `hidden beast` number, since 1 + 573 + 0 + 6 + 6 + 4 + 8 + 60 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78653324304 + 78653324304 = 280452^2 + 280452^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=280452.

It is not an unprimeable number, because it can be changed into a prime (157306648601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6719163 + ... + 6742533.

Almost surely, 2157306648608 is an apocalyptic number.

157306648608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157306648608 is an abundant number, since it is smaller than the sum of its proper divisors (290053275039).

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

157306648608 is an frugal number, since it uses more digits than its factorization.

157306648608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46758 (or 23376 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 157306648608 in words is "one hundred fifty-seven billion, three hundred six million, six hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 23371 46742 70113 93484 140226 186968 210339 280452 373936 420678 560904 747872 841356 1121808 1682712 2243616 3365424 6730848 546203641 1092407282 1638610923 2184814564 3277221846 4369629128 4915832769 6554443692 8739258256 9831665538 13108887384 17478516512 19663331076 26217774768 39326662152 52435549536 78653324304 157306648608