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45192864384 = 273313076639
BaseRepresentation
bin101010000101101101…
…000110001010000000
311022122120100101021000
4222011231012022000
51220023333130014
632432235532000
73156631003053
oct520555061200
9138576311230
1045192864384
11181912149a8
128912bba000
134352b6a595
14228a114a9a
151297838509
hexa85b46280

45192864384 has 64 divisors (see below), whose sum is σ = 133381728000. Its totient is φ = 15064286976.

The previous prime is 45192864383. The next prime is 45192864439. The reversal of 45192864384 is 48346829154.

45192864384 is a `hidden beast` number, since 4 + 519 + 2 + 8 + 6 + 43 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45192864384.

It is not an unprimeable number, because it can be changed into a prime (45192864383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6534864 + ... + 6541775.

It is an arithmetic number, because the mean of its divisors is an integer number (2084089500).

Almost surely, 245192864384 is an apocalyptic number.

It is an amenable number.

45192864384 is an abundant number, since it is smaller than the sum of its proper divisors (88188863616).

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

45192864384 is a wasteful number, since it uses less digits than its factorization.

45192864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13076662 (or 13076644 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 45192864384 in words is "forty-five billion, one hundred ninety-two million, eight hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 13076639 26153278 39229917 52306556 78459834 104613112 117689751 156919668 209226224 235379502 313839336 353069253 418452448 470759004 627678672 706138506 836904896 941518008 1255357344 1412277012 1673809792 1883036016 2510714688 2824554024 3766072032 5021429376 5649108048 7532144064 11298216096 15064288128 22596432192 45192864384