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45346938816 = 2631217194069
BaseRepresentation
bin101010001110111000…
…110101111111000000
311100001022021011122110
4222032320311333000
51220332304020231
632455422135320
73163511422464
oct521670657700
9140038234573
1045346938816
111826018a343
128956721540
134378a64b9a
1422a27804a4
1512a6120046
hexa8ee35fc0

45346938816 has 56 divisors (see below), whose sum is σ = 120079648080. Its totient is φ = 15103148032.

The previous prime is 45346938733. The next prime is 45346938821. The reversal of 45346938816 is 61883964354.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 136630 + ... + 330698.

It is an arithmetic number, because the mean of its divisors is an integer number (2144279430).

Almost surely, 245346938816 is an apocalyptic number.

It is an amenable number.

45346938816 is an abundant number, since it is smaller than the sum of its proper divisors (74732709264).

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

45346938816 is a wasteful number, since it uses less digits than its factorization.

45346938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195301 (or 195291 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 45346938816 in words is "forty-five billion, three hundred forty-six million, nine hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1217 2434 3651 4868 7302 9736 14604 19472 29208 38944 58416 77888 116832 194069 233664 388138 582207 776276 1164414 1552552 2328828 3105104 4657656 6210208 9315312 12420416 18630624 37261248 236181973 472363946 708545919 944727892 1417091838 1889455784 2834183676 3778911568 5668367352 7557823136 11336734704 15115646272 22673469408 45346938816