Search a number
-
+
112746220640 = 2551319534241
BaseRepresentation
bin110100100000000110…
…0101100110001100000
3101210000110220102212122
41221000030230301200
53321401013030030
6123443410443412
711100646030424
oct1510014546140
9353013812778
10112746220640
11438a7336349
1219a26593568
13a82a447731
145657c08b84
152ded25c8e5
hex1a4032cc60

112746220640 has 48 divisors (see below), whose sum is σ = 266565388320. Its totient is φ = 45064212480.

The previous prime is 112746220621. The next prime is 112746220649. The reversal of 112746220640 is 46022647211.

It is a happy number.

112746220640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112746220640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112746220649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56081 + ... + 478160.

It is an arithmetic number, because the mean of its divisors is an integer number (5553445590).

Almost surely, 2112746220640 is an apocalyptic number.

112746220640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112746220640 is an abundant number, since it is smaller than the sum of its proper divisors (153819167680).

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

112746220640 is a wasteful number, since it uses less digits than its factorization.

112746220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535575 (or 535567 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 112746220640 its reverse (46022647211), we get a palindrome (158768867851).

The spelling of 112746220640 in words is "one hundred twelve billion, seven hundred forty-six million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1319 2638 5276 6595 10552 13190 21104 26380 42208 52760 105520 211040 534241 1068482 2136964 2671205 4273928 5342410 8547856 10684820 17095712 21369640 42739280 85478560 704663879 1409327758 2818655516 3523319395 5637311032 7046638790 11274622064 14093277580 22549244128 28186555160 56373110320 112746220640