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1657148116 = 221331868233
BaseRepresentation
bin110001011000110…
…0001001011010100
311021111012211212011
41202301201023110
511343212214431
6432234234004
756031345421
oct14261411324
94244184764
101657148116
117804649a8
123a2b85904
13205424920
1411a12cd48
159a73bcb1
hex62c612d4

1657148116 has 12 divisors (see below), whose sum is σ = 3123086932. Its totient is φ = 764837568.

The previous prime is 1657148113. The next prime is 1657148149. The reversal of 1657148116 is 6118417561.

1657148116 = 82982 + 82992 + ... + 83212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 789610000 + 867538116 = 28100^2 + 29454^2 .

It is a super-2 number, since 2×16571481162 = 5492279756724698912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1657148113) 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 3 ways as a sum of consecutive naturals, for example, 15934065 + ... + 15934168.

Almost surely, 21657148116 is an apocalyptic number.

It is an amenable number.

1657148116 is a deficient number, since it is larger than the sum of its proper divisors (1465938816).

1657148116 is a wasteful number, since it uses less digits than its factorization.

1657148116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31868250 (or 31868248 counting only the distinct ones).

The product of its digits is 40320, while the sum is 40.

The square root of 1657148116 is about 40708.0841602746. The cubic root of 1657148116 is about 1183.3696930087.

The spelling of 1657148116 in words is "one billion, six hundred fifty-seven million, one hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 31868233 63736466 127472932 414287029 828574058 1657148116