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131641692369 = 311157167152147
BaseRepresentation
bin111101010011001110…
…1001101000011010001
3110120210100001212011220
41322212131031003101
54124100233123434
6140250402155253
712340126631325
oct1724635150321
9416710055156
10131641692369
1150913337990
122161a652b29
13c54c047535
14652b533985
15365704ad49
hex1ea674d0d1

131641692369 has 32 divisors (see below), whose sum is σ = 193853592576. Its totient is φ = 78799456320.

The previous prime is 131641692361. The next prime is 131641692383. The reversal of 131641692369 is 963296146131.

It is not a de Polignac number, because 131641692369 - 23 = 131641692361 is a prime.

It is a super-2 number, since 2×1316416923692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131641692361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 789154 + ... + 941300.

It is an arithmetic number, because the mean of its divisors is an integer number (6057924768).

Almost surely, 2131641692369 is an apocalyptic number.

It is an amenable number.

131641692369 is a deficient number, since it is larger than the sum of its proper divisors (62211900207).

131641692369 is a wasteful number, since it uses less digits than its factorization.

131641692369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152485.

The product of its digits is 1259712, while the sum is 51.

The spelling of 131641692369 in words is "one hundred thirty-one billion, six hundred forty-one million, six hundred ninety-two thousand, three hundred sixty-nine".

Divisors: 1 3 11 33 157 167 471 501 1727 1837 5181 5511 26219 78657 152147 288409 456441 865227 1673617 5020851 23887079 25408549 71661237 76225647 262757869 279494039 788273607 838482117 3989142193 11967426579 43880564123 131641692369