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45815690116 = 2272152892
BaseRepresentation
bin101010101010110100…
…111111001110000100
311101020222022012112201
4222222310333032010
51222312304040431
633014125124244
73211232640400
oct525264771604
9141228265481
1045815690116
1118480843109
128a676b9684
134421bc8811
142308b20100
1512d2364461
hexaaad3f384

45815690116 has 27 divisors (see below), whose sum is σ = 93273755589. Its totient is φ = 19634011488.

The previous prime is 45815690087. The next prime is 45815690153. The reversal of 45815690116 is 61109651854.

The square root of 45815690116 is 214046.

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., 28644208516 + 17171481600 = 169246^2 + 131040^2 .

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 8 ways as a sum of consecutive naturals, for example, 2989000 + ... + 3004288.

Almost surely, 245815690116 is an apocalyptic number.

45815690116 is the 214046-th square number.

It is an amenable number.

45815690116 is an abundant number, since it is smaller than the sum of its proper divisors (47458065473).

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

45815690116 is an frugal number, since it uses more digits than its factorization.

45815690116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30596 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 45815690116 in words is "forty-five billion, eight hundred fifteen million, six hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 15289 30578 61156 107023 214046 428092 749161 1498322 2996644 233753521 467507042 935014084 1636274647 3272549294 6545098588 11453922529 22907845058 45815690116