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157119161800 = 23521097207301
BaseRepresentation
bin1001001001010100001…
…0000010010111001000
3120000112220102101220211
42102111002002113020
510033240001134200
6200102440530504
714231362561006
oct2222502022710
9500486371824
10157119161800
11606a7741847
122654aa80a34
1311a7c477933
147867089a76
154148ad5aba
hex24950825c8

157119161800 has 48 divisors (see below), whose sum is σ = 368653497300. Its totient is φ = 62271072000.

The previous prime is 157119161791. The next prime is 157119161803. The reversal of 157119161800 is 8161911751.

157119161800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25607040484 + 131512121316 = 160022^2 + 362646^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (157119161803) 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 11 ways as a sum of consecutive naturals, for example, 3581851 + ... + 3625450.

Almost surely, 2157119161800 is an apocalyptic number.

157119161800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157119161800 is an abundant number, since it is smaller than the sum of its proper divisors (211534335500).

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

157119161800 is a wasteful number, since it uses less digits than its factorization.

157119161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207426 (or 7207417 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 40.

The spelling of 157119161800 in words is "one hundred fifty-seven billion, one hundred nineteen million, one hundred sixty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 7207301 14414602 28829204 36036505 57658408 72073010 144146020 180182525 288292040 360365050 720730100 785595809 1441460200 1571191618 3142383236 3927979045 6284766472 7855958090 15711916180 19639895225 31423832360 39279790450 78559580900 157119161800