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131475766472 = 2317275412
BaseRepresentation
bin111101001110010010…
…0001111110011001000
3110120100202211221122022
41322130210033303020
54123230244011342
6140222113544012
712333043401341
oct1723444176310
9416322757568
10131475766472
1150838708346
1221592b75008
13c52386072b
1465134a10c8
1536476c29d2
hex1e9c90fcc8

131475766472 has 36 divisors (see below), whose sum is σ = 261905796915. Its totient is φ = 61862744320.

The previous prime is 131475766469. The next prime is 131475766483. The reversal of 131475766472 is 274667574131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 46779633796 + 84696132676 = 216286^2 + 291026^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=256394.

It is a Duffinian number.

Its product of digits (5927040) is a multiple of the sum of its prime divisors (7560).

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 8 ways as a sum of consecutive naturals, for example, 17431022 + ... + 17438562.

Almost surely, 2131475766472 is an apocalyptic number.

It is an amenable number.

131475766472 is a deficient number, since it is larger than the sum of its proper divisors (130430030443).

131475766472 is an frugal number, since it uses more digits than its factorization.

131475766472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 7560 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 53.

The spelling of 131475766472 in words is "one hundred thirty-one billion, four hundred seventy-five million, seven hundred sixty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 17 34 68 136 289 578 1156 2312 7541 15082 30164 60328 128197 256394 512788 1025576 2179349 4358698 8717396 17434792 56866681 113733362 227466724 454933448 966733577 1933467154 3866934308 7733868616 16434470809 32868941618 65737883236 131475766472