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131685377652 = 22323657927157
BaseRepresentation
bin111101010100100001…
…1110110011001110100
3110120220101021022010100
41322221003312121310
54124142424041102
6140255002354100
712341200145553
oct1725103663164
9416811238110
10131685377652
1150935a65324
12216311bb930
13c55810160a
146533265d9a
15365acc9a1c
hex1ea90f6674

131685377652 has 18 divisors (see below), whose sum is σ = 332871371378. Its totient is φ = 43895125872.

The previous prime is 131685377641. The next prime is 131685377653. The reversal of 131685377652 is 256773586131.

131685377652 is a `hidden beast` number, since 1 + 31 + 6 + 8 + 537 + 76 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125651816676 + 6033560976 = 354474^2 + 77676^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1316853776522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131685377653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1828963543 + ... + 1828963614.

Almost surely, 2131685377652 is an apocalyptic number.

131685377652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131685377652 is an abundant number, since it is smaller than the sum of its proper divisors (201185993726).

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

131685377652 is a wasteful number, since it uses less digits than its factorization.

131685377652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657927167 (or 3657927162 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 131685377652 in words is "one hundred thirty-one billion, six hundred eighty-five million, three hundred seventy-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3657927157 7315854314 10973781471 14631708628 21947562942 32921344413 43895125884 65842688826 131685377652