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113246719456 = 2513809336499
BaseRepresentation
bin110100101111000000…
…1111100110111100000
3101211022100200102011211
41221132001330313200
53323412130010311
6124005210115504
711116234142563
oct1513601746740
9354270612154
10113246719456
1144033903532
1219b4611bb94
13a8aa045890
1456a44904da
152e2c173821
hex1a5e07cde0

113246719456 has 48 divisors (see below), whose sum is σ = 240402330000. Its totient is φ = 52202953728.

The previous prime is 113246719451. The next prime is 113246719459. The reversal of 113246719456 is 654917642311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113246719451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 168295 + ... + 504793.

It is an arithmetic number, because the mean of its divisors is an integer number (5008381875).

Almost surely, 2113246719456 is an apocalyptic number.

113246719456 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 113246719456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120201165000).

113246719456 is an abundant number, since it is smaller than the sum of its proper divisors (127155610544).

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

113246719456 is a wasteful number, since it uses less digits than its factorization.

113246719456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337331 (or 337323 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The spelling of 113246719456 in words is "one hundred thirteen billion, two hundred forty-six million, seven hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 809 1618 3236 6472 10517 12944 21034 25888 42068 84136 168272 336499 336544 672998 1345996 2691992 4374487 5383984 8748974 10767968 17497948 34995896 69991792 139983584 272227691 544455382 1088910764 2177821528 3538959983 4355643056 7077919966 8711286112 14155839932 28311679864 56623359728 113246719456