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114874780426560 = 26355711237910559
BaseRepresentation
bin11010000111101001011110…
…011110110010000101000000
3120001201220212221221111100000
4122013221132132302011000
5110024102022242122220
61044152425014200000
733124300101463230
oct3207513636620500
9501656787844300
10114874780426560
113366a136853880
1210a73603653000
134c138509a126b
142051d7d083cc0
15d43253b03390
hex687a5e7b2140

114874780426560 has 2688 divisors, whose sum is σ = 539874400665600. Its totient is φ = 22541103636480.

The previous prime is 114874780426543. The next prime is 114874780426561. The reversal of 114874780426560 is 65624087478411.

114874780426560 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 7 + 47 + 8 + 0 + 4 + 26 + 560 = 666.

114874780426560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114874780426561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10879318561 + ... + 10879329119.

It is an arithmetic number, because the mean of its divisors is an integer number (200846131200).

Almost surely, 2114874780426560 is an apocalyptic number.

114874780426560 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 114874780426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269937200332800).

114874780426560 is an abundant number, since it is smaller than the sum of its proper divisors (424999620239040).

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

114874780426560 is a wasteful number, since it uses less digits than its factorization.

114874780426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10711 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 114874780426560 in words is "one hundred fourteen trillion, eight hundred seventy-four billion, seven hundred eighty million, four hundred twenty-six thousand, five hundred sixty".