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113775724752 = 2439739236229
BaseRepresentation
bin110100111110110001…
…1111100100011010000
3101212200020002200000120
41221331203330203100
53331003041143002
6124133504350240
711135316463224
oct1517543744320
9355606080016
10113775724752
1144285480a98
121a073315380
13a962814c71
145714836784
152e5d81acbc
hex1a7d8fc8d0

113775724752 has 80 divisors (see below), whose sum is σ = 297074111040. Its totient is φ = 37518667776.

The previous prime is 113775724721. The next prime is 113775724759. The reversal of 113775724752 is 257427577311.

It is a junction number, because it is equal to n+sod(n) for n = 113775724695 and 113775724704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113775724759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18262374 + ... + 18268602.

It is an arithmetic number, because the mean of its divisors is an integer number (3713426388).

Almost surely, 2113775724752 is an apocalyptic number.

113775724752 is a gapful number since it is divisible by the number (12) 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 113775724752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148537055520).

113775724752 is an abundant number, since it is smaller than the sum of its proper divisors (183298386288).

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

113775724752 is a wasteful number, since it uses less digits than its factorization.

113775724752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10254 counting only the distinct ones).

The product of its digits is 2881200, while the sum is 51.

The spelling of 113775724752 in words is "one hundred thirteen billion, seven hundred seventy-five million, seven hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 3923 4656 6229 7846 11769 12458 15692 18687 23538 24916 31384 37374 47076 49832 62768 74748 94152 99664 149496 188304 298992 380531 604213 761062 1141593 1208426 1522124 1812639 2283186 2416852 3044248 3625278 4566372 4833704 6088496 7250556 9132744 9667408 14501112 18265488 24436367 29002224 48872734 73309101 97745468 146618202 195490936 293236404 390981872 586472808 1172945616 2370327599 4740655198 7110982797 9481310396 14221965594 18962620792 28443931188 37925241584 56887862376 113775724752