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113774127232 = 272360164303
BaseRepresentation
bin110100111110101110…
…1110110100010000000
3101212200010002111122011
41221331131312202000
53331002134032412
6124133410222304
711135300060563
oct1517535664200
9355603074564
10113774127232
114428458a827
121a072884994
13a9623a5a9c
14571453c4da
152e5d6027a7
hex1a7d776880

113774127232 has 64 divisors (see below), whose sum is σ = 236911368960. Its totient is φ = 54322329600.

The previous prime is 113774127197. The next prime is 113774127251. The reversal of 113774127232 is 232721477311.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1737193 + ... + 1801495.

It is an arithmetic number, because the mean of its divisors is an integer number (3701740140).

Almost surely, 2113774127232 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 113774127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118455684480).

113774127232 is an abundant number, since it is smaller than the sum of its proper divisors (123137241728).

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

113774127232 is an equidigital number, since it uses as much as digits as its factorization.

113774127232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64941 (or 64929 counting only the distinct ones).

The product of its digits is 98784, while the sum is 40.

The spelling of 113774127232 in words is "one hundred thirteen billion, seven hundred seventy-four million, one hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 601 736 1202 1472 2404 2944 4808 9616 13823 19232 27646 38464 55292 64303 76928 110584 128606 221168 257212 442336 514424 884672 1028848 1478969 1769344 2057696 2957938 4115392 5915876 8230784 11831752 23663504 38646103 47327008 77292206 94654016 154584412 189308032 309168824 618337648 888860369 1236675296 1777720738 2473350592 3555441476 4946701184 7110882952 14221765904 28443531808 56887063616 113774127232