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113545968480 = 253557417203
BaseRepresentation
bin110100110111111011…
…1011111101101100000
3101212002012202211200000
41221233313133231200
53330020231442410
6124055020100000
711126526543660
oct1515767375540
9355065684600
10113545968480
114417781477a
121a00a394600
13a92703c8c9
1456d210a1a0
152e48584dc0
hex1a6fddfb60

113545968480 has 288 divisors, whose sum is σ = 459231462144. Its totient is φ = 25953302016.

The previous prime is 113545968397. The next prime is 113545968527. The reversal of 113545968480 is 84869545311.

It is a happy number.

113545968480 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 596 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1135459684802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 63559 + ... + 480761.

It is an arithmetic number, because the mean of its divisors is an integer number (1594553688).

Almost surely, 2113545968480 is an apocalyptic number.

113545968480 is a gapful number since it is divisible by the number (10) 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 113545968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229615731072).

113545968480 is an abundant number, since it is smaller than the sum of its proper divisors (345685493664).

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

113545968480 is an equidigital number, since it uses as much as digits as its factorization.

113545968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417240 (or 417220 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 113545968480 in words is "one hundred thirteen billion, five hundred forty-five million, nine hundred sixty-eight thousand, four hundred eighty".