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111925646920 = 2357338330701
BaseRepresentation
bin110100000111101001…
…0011101011001001000
3101200220021211222100101
41220033102131121020
53313210431200140
6123230135015144
711041423205263
oct1501722353110
9350807758311
10111925646920
114351612314a
121983780a4b4
13a729440259
1455bac45cda
152da11be99a
hex1a0f49d648

111925646920 has 32 divisors (see below), whose sum is σ = 255282475320. Its totient is φ = 44156966400.

The previous prime is 111925646897. The next prime is 111925646923. The reversal of 111925646920 is 29646529111.

111925646920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105062849956 + 6862796964 = 324134^2 + 82842^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (111925646923) 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, 19162431 + ... + 19168270.

Almost surely, 2111925646920 is an apocalyptic number.

111925646920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111925646920 is an abundant number, since it is smaller than the sum of its proper divisors (143356828400).

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

111925646920 is a wasteful number, since it uses less digits than its factorization.

111925646920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38330785 (or 38330781 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 111925646920 in words is "one hundred eleven billion, nine hundred twenty-five million, six hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 38330701 76661402 153322804 191653505 306645608 383307010 766614020 1533228040 2798141173 5596282346 11192564692 13990705865 22385129384 27981411730 55962823460 111925646920