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131754575260685 = 51323727653152393
BaseRepresentation
bin11101111101010010000000…
…101001111110110000001101
3122021111121120212220121101002
4131331102000221332300031
5114232131332231320220
61144115114415030045
736515645125304306
oct3575220051766015
9567447525817332
10131754575260685
1138a8788a999943
121293ab0480b325
1358695318c5300
142476d53b377ad
15103738b264c75
hex77d480a7ec0d

131754575260685 has 48 divisors (see below), whose sum is σ = 175837606577424. Its totient is φ = 94662028670976.

The previous prime is 131754575260621. The next prime is 131754575260703. The reversal of 131754575260685 is 586062575457131.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 103734978691369 + 28019596569316 = 10185037^2 + 5293354^2 .

It is not a de Polignac number, because 131754575260685 - 26 = 131754575260621 is a prime.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864494849 + ... + 864647241.

It is an arithmetic number, because the mean of its divisors is an integer number (3663283470363).

Almost surely, 2131754575260685 is an apocalyptic number.

It is an amenable number.

131754575260685 is a deficient number, since it is larger than the sum of its proper divisors (44083031316739).

131754575260685 is a wasteful number, since it uses less digits than its factorization.

131754575260685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180114 (or 180101 counting only the distinct ones).

The product of its (nonzero) digits is 211680000, while the sum is 65.

The spelling of 131754575260685 in words is "one hundred thirty-one trillion, seven hundred fifty-four billion, five hundred seventy-five million, two hundred sixty thousand, six hundred eighty-five".

Divisors: 1 5 13 37 65 169 185 481 845 2405 6253 27653 31265 138265 152393 359489 761965 1023161 1797445 1981109 4673357 5115805 5638541 9905545 13301093 23366785 25754417 28192705 66505465 73301033 128772085 172914209 366505165 864571045 952913429 4214123629 4764567145 21070618145 54783607177 155922574273 273918035885 712186893301 779612871365 2026993465549 3560934466505 10134967327745 26350915052137 131754575260685