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113380735248 = 243211631113437
BaseRepresentation
bin110100110011000000…
…1001011100100010000
3101211122200212010021200
41221212001023210100
53324200432011443
6124030354351200
711122452230304
oct1514601134420
9354580763250
10113380735248
11440a2518590
1219b82b8b500
13a8cba39171
1456b81b7d04
152e38ce6dd3
hex1a6604b910

113380735248 has 120 divisors (see below), whose sum is σ = 346706458176. Its totient is φ = 34303046400.

The previous prime is 113380735229. The next prime is 113380735271. The reversal of 113380735248 is 842537083311.

113380735248 is a `hidden beast` number, since 1 + 1 + 338 + 0 + 73 + 5 + 248 = 666.

113380735248 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 2×1133807352482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942786 + ... + 1056222.

Almost surely, 2113380735248 is an apocalyptic number.

113380735248 is a gapful number since it is divisible by the number (18) 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 113380735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173353229088).

113380735248 is an abundant number, since it is smaller than the sum of its proper divisors (233325722928).

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

113380735248 is a wasteful number, since it uses less digits than its factorization.

113380735248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114093 (or 114084 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 113380735248 in words is "one hundred thirteen billion, three hundred eighty million, seven hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 631 792 1262 1584 1893 2524 3786 5048 5679 6941 7572 10096 11358 13882 15144 20823 22716 27764 30288 41646 45432 55528 62469 83292 90864 111056 113437 124938 166584 226874 249876 333168 340311 453748 499752 680622 907496 999504 1020933 1247807 1361244 1814992 2041866 2495614 2722488 3743421 4083732 4991228 5444976 7486842 8167464 9982456 11230263 14973684 16334928 19964912 22460526 29947368 44921052 59894736 71578747 89842104 143157494 179684208 214736241 286314988 429472482 572629976 644208723 787366217 858944964 1145259952 1288417446 1574732434 1717889928 2362098651 2576834892 3149464868 3435779856 4724197302 5153669784 6298929736 7086295953 9448394604 10307339568 12597859472 14172591906 18896789208 28345183812 37793578416 56690367624 113380735248