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45788036461 = 2997109149333
BaseRepresentation
bin101010101001001011…
…011111110101101101
311101012001021020212021
4222221023133311231
51222233214131321
633011300310141
73210445613446
oct525113376555
9141161236767
1045788036461
1118467175552
128a5a3a2351
1344192657cb
1423051a22cd
1512cec00941
hexaa92dfd6d

45788036461 has 16 divisors (see below), whose sum is σ = 48294615600. Its totient is φ = 43351676928.

The previous prime is 45788036449. The next prime is 45788036509. The reversal of 45788036461 is 16463088754.

It can be written as a sum of positive squares in 8 ways, for example, as 168100 + 45787868361 = 410^2 + 213981^2 .

It is a cyclic number.

It is not a de Polignac number, because 45788036461 - 29 = 45788035949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45788036399 and 45788036408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45788036431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231951 + ... + 381283.

It is an arithmetic number, because the mean of its divisors is an integer number (3018413475).

Almost surely, 245788036461 is an apocalyptic number.

It is an amenable number.

45788036461 is a deficient number, since it is larger than the sum of its proper divisors (2506579139).

45788036461 is a wasteful number, since it uses less digits than its factorization.

45788036461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149568.

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 45788036461 in words is "forty-five billion, seven hundred eighty-eight million, thirty-six thousand, four hundred sixty-one".

Divisors: 1 29 97 109 2813 3161 10573 149333 306617 4330657 14485301 16277297 420073729 472041613 1578897809 45788036461