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45577760657 = 11131013155699
BaseRepresentation
bin101010011100101001…
…010110111110010001
311100122101121010200112
4222130221112332101
51221320401320112
632534345331105
73202313400452
oct523451267621
9140571533615
1045577760657
11183695041a0
1289bba96a95
1343b4821260
1422c52a7129
1512bb516a22
hexa9ca56f91

45577760657 has 16 divisors (see below), whose sum is σ = 54076075200. Its totient is φ = 37868376000.

The previous prime is 45577760623. The next prime is 45577760663. The reversal of 45577760657 is 75606777554.

It is not a de Polignac number, because 45577760657 - 232 = 41282793361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45577760596 and 45577760605.

It is not an unprimeable number, because it can be changed into a prime (45577760677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1563407 + ... + 1592292.

It is an arithmetic number, because the mean of its divisors is an integer number (3379754700).

Almost surely, 245577760657 is an apocalyptic number.

It is an amenable number.

45577760657 is a deficient number, since it is larger than the sum of its proper divisors (8498314543).

45577760657 is a wasteful number, since it uses less digits than its factorization.

45577760657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155824.

The product of its (nonzero) digits is 43218000, while the sum is 59.

The spelling of 45577760657 in words is "forty-five billion, five hundred seventy-seven million, seven hundred sixty thousand, six hundred fifty-seven".

Divisors: 1 11 13 101 143 1111 1313 14443 3155699 34712689 41024087 318725599 451264957 3505981589 4143432787 45577760657