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113386446972 = 22335327677159
BaseRepresentation
bin110100110011001011…
…0111110000001111100
3101211200002121022022000
41221212112332001330
53324203412300342
6124031121022300
711122551616461
oct1514626760174
9354602538260
10113386446972
11440a5769917
1219b84a84990
13a8ccc88b96
1456b8c63668
152e3957444c
hex1a665be07c

113386446972 has 96 divisors (see below), whose sum is σ = 299661465600. Its totient is φ = 37063780416.

The previous prime is 113386446923. The next prime is 113386446991. The reversal of 113386446972 is 279644683311.

113386446972 is a `hidden beast` number, since 1 + 1 + 33 + 86 + 4 + 469 + 72 = 666.

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 31 ways as a sum of consecutive naturals, for example, 15834729 + ... + 15841887.

It is an arithmetic number, because the mean of its divisors is an integer number (3121473600).

Almost surely, 2113386446972 is an apocalyptic number.

113386446972 is a gapful number since it is divisible by the number (12) 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 113386446972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149830732800).

113386446972 is an abundant number, since it is smaller than the sum of its proper divisors (186275018628).

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

113386446972 is a wasteful number, since it uses less digits than its factorization.

113386446972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9984 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 113386446972 in words is "one hundred thirteen billion, three hundred eighty-six million, four hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2767 2862 5534 5724 7159 8301 11068 14318 16602 21477 24903 28636 33204 42954 49806 64431 74709 85908 99612 128862 146651 149418 193293 257724 293302 298836 379427 386586 439953 586604 758854 773172 879906 1138281 1319859 1517708 1759812 2276562 2639718 3414843 3959577 4553124 5279436 6829686 7919154 10244529 13659372 15838308 19808953 20489058 39617906 40978116 59426859 79235812 118853718 178280577 237707436 356561154 534841731 713122308 1049874509 1069683462 2099749018 2139366924 3149623527 4199498036 6299247054 9448870581 12598494108 18897741162 28346611743 37795482324 56693223486 113386446972