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113839748946 = 2337111923314347
BaseRepresentation
bin110101000000101100…
…0001011011101010010
3101212211200120102201000
41222001120023131102
53331120433431241
6124144112522430
711140024620540
oct1520130133522
9355750512630
10113839748946
1144308630350
121a090850416
13a972b707c1
14571d140d90
152e64265eb6
hex1a8160b752

113839748946 has 1024 divisors, whose sum is σ = 373712486400. Its totient is φ = 24788332800.

The previous prime is 113839748941. The next prime is 113839749007. The reversal of 113839748946 is 649847938311.

113839748946 is a `hidden beast` number, since 113 + 8 + 39 + 7 + 489 + 4 + 6 = 666.

It is a super-2 number, since 2×1138397489462 (a number of 23 digits) contains 22 as substring.

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

Its product of digits (31352832) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (113839748941) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2422122295 + ... + 2422122341.

It is an arithmetic number, because the mean of its divisors is an integer number (364953600).

Almost surely, 2113839748946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113839748946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186856243200).

113839748946 is an abundant number, since it is smaller than the sum of its proper divisors (259872737454).

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

113839748946 is a wasteful number, since it uses less digits than its factorization.

113839748946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 113839748946 in words is "one hundred thirteen billion, eight hundred thirty-nine million, seven hundred forty-eight thousand, nine hundred forty-six".