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45172826521 = 25728272
BaseRepresentation
bin101010000100100000…
…101010000110011001
311022121011122100110221
4222010200222012121
51220003220422041
632430242240041
73156265455454
oct520440520631
9138534570427
1045172826521
1118180979189
128908356021
13434b972b64
1422875ba49b
151295bcb2d1
hexa8482a199

45172826521 has 9 divisors (see below), whose sum is σ = 45404182399. Its totient is φ = 44942646784.

The previous prime is 45172826519. The next prime is 45172826527. The reversal of 45172826521 is 12562827154.

The square root of 45172826521 is 212539.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44472483225 + 700343296 = 210885^2 + 26464^2 .

It is not a de Polignac number, because 45172826521 - 21 = 45172826519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45172826527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54622110 + ... + 54622936.

Almost surely, 245172826521 is an apocalyptic number.

45172826521 is the 212539-th square number.

45172826521 is the 106270-th centered octagonal number.

It is an amenable number.

45172826521 is a deficient number, since it is larger than the sum of its proper divisors (231355878).

45172826521 is an frugal number, since it uses more digits than its factorization.

45172826521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1084 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The spelling of 45172826521 in words is "forty-five billion, one hundred seventy-two million, eight hundred twenty-six thousand, five hundred twenty-one".

Divisors: 1 257 827 66049 212539 683929 54622523 175769753 45172826521