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113419213888 = 2617223946559
BaseRepresentation
bin110100110100001001…
…1111101110001000000
3101211202101021001001111
41221220103331301000
53324240304321023
6124034251213104
711123430261031
oct1515023756100
9354671231044
10113419213888
114411220a112
1219b93a47194
13a9069bc3a6
1456bd352a88
152e3c39800d
hex1a684fdc40

113419213888 has 56 divisors (see below), whose sum is σ = 238416998400. Its totient is φ = 53348763648.

The previous prime is 113419213879. The next prime is 113419213903. The reversal of 113419213888 is 888312914311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412753 + ... + 2459311.

It is an arithmetic number, because the mean of its divisors is an integer number (4257446400).

Almost surely, 2113419213888 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 113419213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119208499200).

113419213888 is an abundant number, since it is smaller than the sum of its proper divisors (124997784512).

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

113419213888 is a wasteful number, since it uses less digits than its factorization.

113419213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48827 (or 48817 counting only the distinct ones).

The product of its digits is 331776, while the sum is 49.

It can be divided in two parts, 11341 and 9213888, that added together give a palindrome (9225229).

The spelling of 113419213888 in words is "one hundred thirteen billion, four hundred nineteen million, two hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2239 4478 8956 17912 35824 38063 46559 71648 76126 93118 143296 152252 186236 304504 372472 609008 744944 791503 1218016 1489888 1583006 2436032 2979776 3166012 6332024 12664048 25328096 50656192 104245601 208491202 416982404 833964808 1667929616 1772175217 3335859232 3544350434 6671718464 7088700868 14177401736 28354803472 56709606944 113419213888