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45488737665 = 3257233296197
BaseRepresentation
bin101010010111010101…
…110000110110000001
311100102012002022002200
4222113111300312001
51221130104101130
632521445303413
73200152614300
oct522725606601
9140365068080
1045488737665
111832322a978
128996104b69
13439c251c27
1422b7532437
1512b37ce760
hexa97570d81

45488737665 has 72 divisors (see below), whose sum is σ = 91762505640. Its totient is φ = 20785250304.

The previous prime is 45488737643. The next prime is 45488737739. The reversal of 45488737665 is 56673788454.

45488737665 is a `hidden beast` number, since 4 + 548 + 87 + 3 + 7 + 6 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2021491521 + 43467246144 = 44961^2 + 208488^2 .

It is not a de Polignac number, because 45488737665 - 25 = 45488737633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7337347 + ... + 7343543.

It is an arithmetic number, because the mean of its divisors is an integer number (1274479245).

Almost surely, 245488737665 is an apocalyptic number.

45488737665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45488737665 is an abundant number, since it is smaller than the sum of its proper divisors (46273767975).

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

45488737665 is a wasteful number, since it uses less digits than its factorization.

45488737665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9541 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 45488737665 in words is "forty-five billion, four hundred eighty-eight million, seven hundred thirty-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 3329 6197 9987 16645 18591 23303 29961 30985 43379 49935 55773 69909 92955 116515 130137 149805 163121 209727 216895 278865 303653 349545 390411 489363 650685 815605 910959 1048635 1468089 1518265 1952055 2446815 2732877 4554795 7340445 13664385 20629813 61889439 103149065 144408691 185668317 309447195 433226073 722043455 928341585 1010860837 1299678219 2166130365 3032582511 5054304185 6498391095 9097747533 15162912555 45488737665