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131708145825 = 3352194724649
BaseRepresentation
bin111101010101001101…
…0101101000010100001
3110120221222010001012000
41322222122231002201
54124214241131300
6140301134354213
712341564524224
oct1725232550241
9416858101160
10131708145825
11509478a63a3
122163895b969
13c55ca439c9
1465362b15bb
15365ccc5c00
hex1eaa6ad0a1

131708145825 has 144 divisors (see below), whose sum is σ = 260277240000. Its totient is φ = 65117364480.

The previous prime is 131708145781. The next prime is 131708145853. The reversal of 131708145825 is 528541807131.

131708145825 is a `hidden beast` number, since 1 + 3 + 170 + 8 + 1 + 458 + 25 = 666.

It is not a de Polignac number, because 131708145825 - 221 = 131706048673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28328101 + ... + 28332749.

Almost surely, 2131708145825 is an apocalyptic number.

131708145825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131708145825 is a deficient number, since it is larger than the sum of its proper divisors (128569094175).

131708145825 is a wasteful number, since it uses less digits than its factorization.

131708145825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 131708145825 in words is "one hundred thirty-one billion, seven hundred eight million, one hundred forty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 47 57 75 95 135 141 171 225 235 285 423 475 513 675 705 855 893 1175 1269 1425 2115 2209 2565 2679 3525 4275 4465 4649 6345 6627 8037 10575 11045 12825 13395 13947 19881 22325 23245 24111 31725 33135 40185 41841 41971 55225 59643 66975 69735 88331 99405 116225 120555 125523 125913 165675 200925 209205 209855 218503 264993 298215 348675 377739 441655 497025 602775 627615 629565 655509 794979 1046025 1049275 1092515 1133217 1324965 1491075 1888695 1966527 2208275 2384937 3138075 3147825 3277545 3974895 4151557 5462575 5666085 5899581 6624825 9443475 9832635 10269641 11924685 12454671 16387725 19874475 20757785 28330425 29497905 30808923 37364013 49163175 51348205 59623425 62273355 92426769 103788925 112092039 147489525 154044615 186820065 195123179 256741025 277280307 311366775 462133845 560460195 585369537 770223075 934100325 975615895 1386401535 1756108611 2310669225 2802300975 2926847685 4878079475 5268325833 6932007675 8780543055 14634238425 26341629165 43902715275 131708145825