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113776650272 = 25297112713597
BaseRepresentation
bin110100111110110011…
…1011110100000100000
3101212200021211200121002
41221331213132200200
53331003310302042
6124133540251132
711135330366435
oct1517547364040
9355607750532
10113776650272
1144285a5338a
121a0736a0aa8
13a962a7a2cc
1457149d7b8c
152e5d950132
hex1a7d9de820

113776650272 has 96 divisors (see below), whose sum is σ = 236853227520. Its totient is φ = 53722690560.

The previous prime is 113776650241. The next prime is 113776650283. The reversal of 113776650272 is 272056677311.

It is a happy number.

113776650272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1137766502722 (a number of 23 digits) contains 22 as substring.

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, 8360978 + ... + 8374574.

It is an arithmetic number, because the mean of its divisors is an integer number (2467221120).

Almost surely, 2113776650272 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 113776650272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118426613760).

113776650272 is an abundant number, since it is smaller than the sum of its proper divisors (123076577248).

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

113776650272 is a wasteful number, since it uses less digits than its factorization.

113776650272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 113776650272 in words is "one hundred thirteen billion, seven hundred seventy-six million, six hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 71 116 127 142 232 254 284 464 508 568 928 1016 1136 2032 2059 2272 3683 4064 4118 7366 8236 9017 13597 14732 16472 18034 27194 29464 32944 36068 54388 58928 65888 72136 108776 117856 144272 217552 261493 288544 394313 435104 522986 788626 965387 1045972 1577252 1726819 1930774 2091944 3154504 3453638 3861548 4183888 6309008 6907276 7723096 8367776 12618016 13814552 15446192 27629104 27996223 30892384 50077751 55258208 55992446 100155502 111984892 122604149 200311004 223969784 245208298 400622008 447939568 490416596 801244016 895879136 980833192 1602488032 1961666384 3555520321 3923332768 7111040642 14222081284 28444162568 56888325136 113776650272