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157157287146 = 2329790009901
BaseRepresentation
bin1001001001011101001…
…1011110010011101010
3120000122120011101001200
42102113103132103222
510033324231142041
6200110322025030
714232334620426
oct2222723362352
9500576141050
10157157287146
11607172119a2
122655b7a8176
1311a87336102
14786c171b86
15414c1171b6
hex24974de4ea

157157287146 has 24 divisors (see below), whose sum is σ = 344017845444. Its totient is φ = 51845702400.

The previous prime is 157157287123. The next prime is 157157287159. The reversal of 157157287146 is 641782751751.

It is a happy number.

157157287146 is a `hidden beast` number, since 1 + 57 + 1 + 572 + 8 + 7 + 14 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146336086521 + 10821200625 = 382539^2 + 104025^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157157287092 and 157157287101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45003205 + ... + 45006696.

Almost surely, 2157157287146 is an apocalyptic number.

157157287146 is an abundant number, since it is smaller than the sum of its proper divisors (186860558298).

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

157157287146 is a wasteful number, since it uses less digits than its factorization.

157157287146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90010006 (or 90010003 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 54.

The spelling of 157157287146 in words is "one hundred fifty-seven billion, one hundred fifty-seven million, two hundred eighty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 90009901 180019802 270029703 540059406 810089109 1620178218 8730960397 17461920794 26192881191 52385762382 78578643573 157157287146