Search a number
-
+
113531246336 = 281779330217
BaseRepresentation
bin110100110111011111…
…1010101011100000000
3101212001012001212200102
41221232333111130000
53330002444340321
6124053332341532
711126260446164
oct1515677253400
9355035055612
10113531246336
114416a479812
121a0054748a8
13a923c86891
1456d0196ca4
152e47127c0b
hex1a6efd5700

113531246336 has 72 divisors (see below), whose sum is σ = 242987613120. Its totient is φ = 52750024704.

The previous prime is 113531246333. The next prime is 113531246341. The reversal of 113531246336 is 633642135311.

It is a self number, because there is not a number n which added to its sum of digits gives 113531246336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113531246333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178700 + ... + 508916.

It is an arithmetic number, because the mean of its divisors is an integer number (3374827960).

Almost surely, 2113531246336 is an apocalyptic number.

113531246336 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 113531246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121493806560).

113531246336 is an abundant number, since it is smaller than the sum of its proper divisors (129456366784).

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

113531246336 is an equidigital number, since it uses as much as digits as its factorization.

113531246336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330329 (or 330315 counting only the distinct ones).

The product of its digits is 116640, while the sum is 38.

The spelling of 113531246336 in words is "one hundred thirteen billion, five hundred thirty-one million, two hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 256 272 316 544 632 1088 1264 1343 2176 2528 2686 4352 5056 5372 10112 10744 20224 21488 42976 85952 171904 330217 343808 660434 1320868 2641736 5283472 5613689 10566944 11227378 21133888 22454756 26087143 42267776 44909512 52174286 84535552 89819024 104348572 179638048 208697144 359276096 417394288 443481431 718552192 834788576 886962862 1437104384 1669577152 1773925724 3339154304 3547851448 6678308608 7095702896 14191405792 28382811584 56765623168 113531246336