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115727344656261 = 31317223446422117
BaseRepresentation
bin11010010100000011011111…
…010001001101111110000101
3120011202102111121221202210220
4122110003133101031332011
5110132034100213000021
61050044224100334553
733243011325041322
oct3224033721157605
9504672447852726
10115727344656261
1133968767064318
1210b908996a4459
134c76070a18020
14208133a509b49
15d5a501951cc6
hex6940df44df85

115727344656261 has 48 divisors (see below), whose sum is σ = 184197337263744. Its totient is φ = 64113358611456.

The previous prime is 115727344656247. The next prime is 115727344656283. The reversal of 115727344656261 is 162656443727511.

It is not a de Polignac number, because 115727344656261 - 25 = 115727344656229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115727344656195 and 115727344656204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115727344656221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222951826 + ... + 223470291.

It is an arithmetic number, because the mean of its divisors is an integer number (3837444526328).

Almost surely, 2115727344656261 is an apocalyptic number.

It is an amenable number.

115727344656261 is a deficient number, since it is larger than the sum of its proper divisors (68469992607483).

115727344656261 is a wasteful number, since it uses less digits than its factorization.

115727344656261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446422190 (or 446422173 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 115727344656261 in words is "one hundred fifteen trillion, seven hundred twenty-seven billion, three hundred forty-four million, six hundred fifty-six thousand, two hundred sixty-one".

Divisors: 1 3 13 17 23 39 51 69 221 289 299 391 663 867 897 1173 3757 5083 6647 11271 15249 19941 86411 259233 446422117 1339266351 5803487521 7589175989 10267708691 17410462563 22767527967 30803126073 98659287857 129015991813 133480212983 174551047747 295977863571 387047975439 400440638949 523653143241 1677207893569 2269163620711 2967367811699 5031623680707 6807490862133 8902103435097 38575781552087 115727344656261