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45825160368 = 2431373437757
BaseRepresentation
bin101010101011011001…
…000111010010110000
311101021122010100021210
4222223121013102300
51222322220112433
633015104120120
73211406302431
oct525331072260
9141248110253
1045825160368
1118486121269
128a6a906040
134423b63210
14230a0a7488
1512d30d5463
hexaab6474b0

45825160368 has 40 divisors (see below), whose sum is σ = 127487947888. Its totient is φ = 14100049152.

The previous prime is 45825160361. The next prime is 45825160429. The reversal of 45825160368 is 86306152854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45825160361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36718255 + ... + 36719502.

Almost surely, 245825160368 is an apocalyptic number.

45825160368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45825160368 is an abundant number, since it is smaller than the sum of its proper divisors (81662787520).

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

45825160368 is a wasteful number, since it uses less digits than its factorization.

45825160368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73437781 (or 73437775 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 45825160368 in words is "forty-five billion, eight hundred twenty-five million, one hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 73437757 146875514 220313271 293751028 440626542 587502056 881253084 954690841 1175004112 1762506168 1909381682 2864072523 3525012336 3818763364 5728145046 7637526728 11456290092 15275053456 22912580184 45825160368