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107307435645 = 3252384609681
BaseRepresentation
bin110001111110000000…
…1011000011001111101
3101020222102212112110100
41203330001120121331
53224231200420040
6121144002431313
710516115103414
oct1437401303175
9336872775410
10107307435645
1141566282713
1218969062539
13a171717a67
14529d76847b
152bd0a30b30
hex18fc05867d

107307435645 has 12 divisors (see below), whose sum is σ = 185999555196. Its totient is φ = 57230632320.

The previous prime is 107307435577. The next prime is 107307435661. The reversal of 107307435645 is 546534703701.

107307435645 is a `hidden beast` number, since 10 + 7 + 3 + 0 + 74 + 3 + 564 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43345990809 + 63961444836 = 208197^2 + 252906^2 .

It is not a de Polignac number, because 107307435645 - 27 = 107307435517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2384609681 = 107307435645 / (1 + 0 + 7 + 3 + 0 + 7 + 4 + 3 + 5 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 107307435645.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1192304796 + ... + 1192304885.

It is an arithmetic number, because the mean of its divisors is an integer number (15499962933).

Almost surely, 2107307435645 is an apocalyptic number.

107307435645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107307435645 is a deficient number, since it is larger than the sum of its proper divisors (78692119551).

107307435645 is a wasteful number, since it uses less digits than its factorization.

107307435645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384609692 (or 2384609689 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 107307435645 in words is "one hundred seven billion, three hundred seven million, four hundred thirty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 2384609681 7153829043 11923048405 21461487129 35769145215 107307435645