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113032296448 = 2111011912861
BaseRepresentation
bin110100101000100111…
…1111111100000000000
3101210202102012121002221
41221101033333200000
53322442231441243
6123532030220424
711111021444611
oct1512117774000
9353672177087
10113032296448
1143a3386a335
1219aa6354714
13a8747ab766
145683bd5c08
152e1841abed
hex1a513ff800

113032296448 has 96 divisors (see below), whose sum is σ = 229522325760. Its totient is φ = 55644160000.

The previous prime is 113032296437. The next prime is 113032296449. The reversal of 113032296448 is 844692230311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032296449) by changing a digit.

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, 39506538 + ... + 39509398.

It is an arithmetic number, because the mean of its divisors is an integer number (2390857560).

Almost surely, 2113032296448 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 113032296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114761162880).

113032296448 is an abundant number, since it is smaller than the sum of its proper divisors (116490029312).

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

113032296448 is a wasteful number, since it uses less digits than its factorization.

113032296448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 113032296448 in words is "one hundred thirteen billion, thirty-two million, two hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 191 202 256 382 404 512 764 808 1024 1528 1616 2048 2861 3056 3232 5722 6112 6464 11444 12224 12928 19291 22888 24448 25856 38582 45776 48896 51712 77164 91552 97792 103424 154328 183104 195584 206848 288961 308656 366208 391168 546451 577922 617312 732416 1092902 1155844 1234624 1464832 2185804 2311688 2469248 2929664 4371608 4623376 4938496 5859328 8743216 9246752 9876992 17486432 18493504 19753984 34972864 36987008 39507968 55191551 69945728 73974016 110383102 139891456 147948032 220766204 279782912 295896064 441532408 559565824 591792128 883064816 1119131648 1766129632 3532259264 7064518528 14129037056 28258074112 56516148224 113032296448