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45346680450306 = 2329924612538397
BaseRepresentation
bin10100100111110000110001…
…10001111010110100000010
312221120002201010110201222200
422103320120301322310002
521420430000143402211
6240235551042014030
712360122005026534
oct1223703061726402
9187502633421880
1045346680450306
11134a3467a24084
1251045a7647316
131c3c234591851
14b2ab108a9854
15539887d2bb56
hex293e18c7ad02

45346680450306 has 24 divisors (see below), whose sum is σ = 98251278679164. Its totient is φ = 15115538964960.

The previous prime is 45346680450277. The next prime is 45346680450311. The reversal of 45346680450306 is 60305408664354.

45346680450306 is a `hidden beast` number, since 4 + 53 + 4 + 6 + 6 + 80 + 4 + 503 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43143103492281 + 2203576958025 = 6568341^2 + 1484445^2 .

It is a super-3 number, since 3×453466804503063 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16595100 + ... + 19133496.

Almost surely, 245346680450306 is an apocalyptic number.

45346680450306 is an abundant number, since it is smaller than the sum of its proper divisors (52904598228858).

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

45346680450306 is a wasteful number, since it uses less digits than its factorization.

45346680450306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530866 (or 3530863 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 45346680450306 in words is "forty-five trillion, three hundred forty-six billion, six hundred eighty million, four hundred fifty thousand, three hundred six".

Divisors: 1 2 3 6 9 18 992461 1984922 2538397 2977383 5076794 5954766 7615191 8932149 15230382 17864298 22845573 45691146 2519260025017 5038520050034 7557780075051 15115560150102 22673340225153 45346680450306