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113531484016 = 24193153227303
BaseRepresentation
bin110100110111100000…
…0001111011101110000
3101212001012111221201101
41221233000033131300
53330003024442031
6124053341414144
711126262456136
oct1515700173560
9355035457641
10113531484016
114416a621345
121a00556a354
13a92403ab12
1456d0219756
152e47173361
hex1a6f00f770

113531484016 has 80 divisors (see below), whose sum is σ = 243524413440. Its totient is φ = 51061121280.

The previous prime is 113531484007. The next prime is 113531484041. The reversal of 113531484016 is 610484135311.

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 15 ways as a sum of consecutive naturals, for example, 385821 + ... + 613123.

It is an arithmetic number, because the mean of its divisors is an integer number (3044055168).

Almost surely, 2113531484016 is an apocalyptic number.

113531484016 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 113531484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121762206720).

113531484016 is an abundant number, since it is smaller than the sum of its proper divisors (129992929424).

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

113531484016 is a wasteful number, since it uses less digits than its factorization.

113531484016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227414 (or 227408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 113531484016 in words is "one hundred thirteen billion, five hundred thirty-one million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 31 38 53 62 76 106 124 152 212 248 304 424 496 589 848 1007 1178 1643 2014 2356 3286 4028 4712 6572 8056 9424 13144 16112 26288 31217 62434 124868 227303 249736 454606 499472 909212 1818424 3636848 4318757 7046393 8637514 12047059 14092786 17275028 24094118 28185572 34550056 48188236 56371144 69100112 96376472 112742288 133881467 192752944 228894121 267762934 373458829 457788242 535525868 746917658 915576484 1071051736 1493835316 1831152968 2142103472 2987670632 3662305936 5975341264 7095717751 14191435502 28382871004 56765742008 113531484016