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45710315600 = 2452114275789
BaseRepresentation
bin101010100100100011…
…000001000001010000
311100222122000121212212
4222210203001001100
51222103320044400
632555442411252
73205513162145
oct524443010120
9140878017785
1045710315600
1118427310734
128a38360b28
134406122931
1422d8b303cc
1512c7e9c335
hexaa48c1050

45710315600 has 30 divisors (see below), whose sum is σ = 109819034190. Its totient is φ = 18284126080.

The previous prime is 45710315527. The next prime is 45710315603. The reversal of 45710315600 is 651301754.

It can be written as a sum of positive squares in 3 ways, for example, as 778186816 + 44932128784 = 27896^2 + 211972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45710315603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57137495 + ... + 57138294.

It is an arithmetic number, because the mean of its divisors is an integer number (3660634473).

Almost surely, 245710315600 is an apocalyptic number.

45710315600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45710315600 is an abundant number, since it is smaller than the sum of its proper divisors (64108718590).

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

45710315600 is a wasteful number, since it uses less digits than its factorization.

45710315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114275807 (or 114275796 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 45710315600 in words is "forty-five billion, seven hundred ten million, three hundred fifteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 114275789 228551578 457103156 571378945 914206312 1142757890 1828412624 2285515780 2856894725 4571031560 5713789450 9142063120 11427578900 22855157800 45710315600