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125048660157 = 323119110492237
BaseRepresentation
bin111010001110101111…
…0110010000010111101
3102221202212010010020200
41310131132302002331
54022044424111112
6133240242434113
712014552034141
oct1643536620275
9387685103220
10125048660157
114903a788233
122029a662939
13ba3b152545
1460a3a73221
1533bd31ecdc
hex1d1d7b20bd

125048660157 has 48 divisors (see below), whose sum is σ = 187691212800. Its totient is φ = 80141817600.

The previous prime is 125048660153. The next prime is 125048660213. The reversal of 125048660157 is 751066840521.

125048660157 is a `hidden beast` number, since 1 + 2 + 504 + 86 + 60 + 1 + 5 + 7 = 666.

It is not a de Polignac number, because 125048660157 - 22 = 125048660153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125048660153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55899043 + ... + 55901279.

It is an arithmetic number, because the mean of its divisors is an integer number (3910233600).

Almost surely, 2125048660157 is an apocalyptic number.

It is an amenable number.

125048660157 is a deficient number, since it is larger than the sum of its proper divisors (62642552643).

125048660157 is a wasteful number, since it uses less digits than its factorization.

125048660157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 125048660157 in words is "one hundred twenty-five billion, forty-eight million, six hundred sixty thousand, one hundred fifty-seven".

Divisors: 1 3 9 31 93 191 279 573 1049 1719 2237 3147 5921 6711 9441 17763 20133 32519 53289 69347 97557 200359 208041 292671 427267 601077 624123 1281801 1803231 2346613 3845403 6211129 7039839 13245277 18633387 21119517 39735831 55900161 72745003 119207493 218235009 448203083 654705027 1344609249 4033827747 13894295573 41682886719 125048660157