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114782639616 = 2932414371199
BaseRepresentation
bin110101011100110010…
…1000001011000000000
3101222021101210020112200
41222321211001120000
53340033323431431
6124421434153200
711202264224121
oct1527145013000
9358241706480
10114782639616
1144751898037
121a2b4582800
13aa93303688
1457ac464048
152ebbe15ee6
hex1ab9941600

114782639616 has 480 divisors, whose sum is σ = 353902348800. Its totient is φ = 35765452800.

The previous prime is 114782639597. The next prime is 114782639623. The reversal of 114782639616 is 616936287411.

114782639616 is a `hidden beast` number, since 1 + 14 + 7 + 8 + 2 + 6 + 3 + 9 + 616 = 666.

114782639616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (2612736) is a multiple of the sum of its prime factors (378).

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, 576797085 + ... + 576797283.

It is an arithmetic number, because the mean of its divisors is an integer number (737296560).

Almost surely, 2114782639616 is an apocalyptic number.

114782639616 is a gapful number since it is divisible by the number (16) 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 114782639616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176951174400).

114782639616 is an abundant number, since it is smaller than the sum of its proper divisors (239119709184).

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

114782639616 is a wasteful number, since it uses less digits than its factorization.

114782639616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 114782639616 in words is "one hundred fourteen billion, seven hundred eighty-two million, six hundred thirty-nine thousand, six hundred sixteen".