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113462750072 = 2372171931137211
BaseRepresentation
bin110100110101011101…
…0000010101101111000
3101211212102011220110202
41221222322002231320
53324332431000242
6124042444301332
711124466314500
oct1515272025570
9354772156422
10113462750072
1144134845531
1219ba6541848
13a912a23649
1456c5046a00
152e410e7932
hex1a6ae82b78

113462750072 has 384 divisors, whose sum is σ = 288159897600. Its totient is φ = 41455411200.

The previous prime is 113462750039. The next prime is 113462750099. The reversal of 113462750072 is 270057264311.

It is a super-2 number, since 2×1134627500722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 537738047 + ... + 537738257.

It is an arithmetic number, because the mean of its divisors is an integer number (750416400).

Almost surely, 2113462750072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113462750072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144079948800).

113462750072 is an abundant number, since it is smaller than the sum of its proper divisors (174697147528).

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

113462750072 is a wasteful number, since it uses less digits than its factorization.

113462750072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 113462750072 in words is "one hundred thirteen billion, four hundred sixty-two million, seven hundred fifty thousand, seventy-two".