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45045499903488 = 293273162117253
BaseRepresentation
bin10100011110111111110010…
…00001010011111000000000
312220111022022100010201110100
422033133321001103320000
521401011140433402423
6235445341133402400
712326300323436550
oct1217377101237000
9186438270121410
1045045499903488
11133977643a8557
125076152939400
131c19a06cc0036
14b1a2dca5d160
15531b0bbc6343
hex28f7f9053e00

45045499903488 has 480 divisors, whose sum is σ = 153415044237312. Its totient is φ = 12451254681600.

The previous prime is 45045499903379. The next prime is 45045499903493. The reversal of 45045499903488 is 88430999454054.

45045499903488 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 5 + 499 + 90 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×450454999034882 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6210598870 + ... + 6210606122.

Almost surely, 245045499903488 is an apocalyptic number.

45045499903488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45045499903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76707522118656).

45045499903488 is an abundant number, since it is smaller than the sum of its proper divisors (108369544333824).

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

45045499903488 is a wasteful number, since it uses less digits than its factorization.

45045499903488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13526 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 45045499903488 in words is "forty-five trillion, forty-five billion, four hundred ninety-nine million, nine hundred three thousand, four hundred eighty-eight".