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45112060816 = 2429218312
BaseRepresentation
bin101010000000111000…
…110110101110010000
311022102221022010121021
4222000320312232100
51214342141421231
632420232005224
73154630122124
oct520070665620
9138387263537
1045112060816
111814a644a99
1288abb30814
13433c1b8514
14227d4bd584
1512906c6811
hexa80e36b90

45112060816 has 45 divisors (see below), whose sum is σ = 90571965393. Its totient is φ = 21766342080.

The previous prime is 45112060793. The next prime is 45112060823. The reversal of 45112060816 is 61806021154.

The square root of 45112060816 is 212396.

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., 23655670416 + 21456390400 = 153804^2 + 146480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24637021 + ... + 24638851.

Almost surely, 245112060816 is an apocalyptic number.

45112060816 is the 212396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45112060816

45112060816 is an abundant number, since it is smaller than the sum of its proper divisors (45459904577).

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

45112060816 is an frugal number, since it uses more digits than its factorization.

45112060816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 45112060816 in words is "forty-five billion, one hundred twelve million, sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 1831 3364 3662 6728 7324 13456 14648 29296 53099 106198 212396 424792 849584 1539871 3079742 3352561 6159484 6705122 12318968 13410244 24637936 26820488 53640976 97224269 194448538 388897076 777794152 1555588304 2819503801 5639007602 11278015204 22556030408 45112060816