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113460447465 = 345733837661
BaseRepresentation
bin110100110101011000…
…1010000100011101001
3101211212020211220220000
41221222301100203221
53324331333304330
6124042323053213
711124440614401
oct1515261204351
9354766756800
10113460447465
1144133512552
1219ba5811209
13a9123c8561
1456c4a07801
152e40ce0560
hex1a6ac508e9

113460447465 has 40 divisors (see below), whose sum is σ = 206174553288. Its totient is φ = 59683288320.

The previous prime is 113460447461. The next prime is 113460447509. The reversal of 113460447465 is 564744064311.

113460447465 is a `hidden beast` number, since 1 + 1 + 34 + 604 + 4 + 7 + 4 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33983816409 + 79476631056 = 184347^2 + 281916^2 .

It is not a de Polignac number, because 113460447465 - 22 = 113460447461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 113460447465.

It is not an unprimeable number, because it can be changed into a prime (113460447461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1889266 + ... + 1948395.

Almost surely, 2113460447465 is an apocalyptic number.

113460447465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113460447465 is a deficient number, since it is larger than the sum of its proper divisors (92714105823).

113460447465 is an equidigital number, since it uses as much as digits as its factorization.

113460447465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837751 (or 3837742 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 113460447465 in words is "one hundred thirteen billion, four hundred sixty million, four hundred forty-seven thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 73 81 135 219 365 405 657 1095 1971 3285 5913 9855 29565 3837661 11512983 19188305 34538949 57564915 103616847 172694745 280149253 310850541 518084235 840447759 1400746265 1554252705 2521343277 4202238795 7564029831 12606716385 22692089493 37820149155 113460447465