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157292930000 = 245415729293
BaseRepresentation
bin1001001001111101100…
…0111010001111010000
3120001000000101202002002
42102133120322033100
510034113442230000
6200132005213132
714235602562563
oct2223730721720
9501000352062
10157292930000
1160786838428
12265991011a8
1311aa947915b
1478821a04da
154158eac8d5
hex249f63a3d0

157292930000 has 50 divisors (see below), whose sum is σ = 380821937034. Its totient is φ = 62917168000.

The previous prime is 157292929933. The next prime is 157292930017. The reversal of 157292930000 is 39292751.

157292930000 is digitally balanced in base 2, 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 5 ways, for example, as 73938311056 + 83354618944 = 271916^2 + 288712^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7854647 + ... + 7874646.

Almost surely, 2157292930000 is an apocalyptic number.

157292930000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157292930000 is an abundant number, since it is smaller than the sum of its proper divisors (223529007034).

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

157292930000 is an equidigital number, since it uses as much as digits as its factorization.

157292930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729321 (or 15729300 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 157292930000 in words is "one hundred fifty-seven billion, two hundred ninety-two million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 15729293 31458586 62917172 78646465 125834344 157292930 251668688 314585860 393232325 629171720 786464650 1258343440 1572929300 1966161625 3145858600 3932323250 6291717200 7864646500 9830808125 15729293000 19661616250 31458586000 39323232500 78646465000 157292930000