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112332121664 = 267250741343
BaseRepresentation
bin110100010011110000…
…1000010011001000000
3101201221121201000212112
41220213201002121000
53320024010343124
6123334335114452
711054460164660
oct1504741023100
9351847630775
10112332121664
1143704610694
121992b972a28
13a79270a959
145618c141a0
152dc6c1190e
hex1a27842640

112332121664 has 28 divisors (see below), whose sum is σ = 254753205504. Its totient is φ = 48142337664.

The previous prime is 112332121661. The next prime is 112332121687. The reversal of 112332121664 is 466121233211.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 112332121664.

It is not an unprimeable number, because it can be changed into a prime (112332121661) 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 3 ways as a sum of consecutive naturals, for example, 125370224 + ... + 125371119.

It is an arithmetic number, because the mean of its divisors is an integer number (9098328768).

Almost surely, 2112332121664 is an apocalyptic number.

112332121664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112332121664 is an abundant number, since it is smaller than the sum of its proper divisors (142421083840).

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

112332121664 is an equidigital number, since it uses as much as digits as its factorization.

112332121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250741362 (or 250741352 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

Adding to 112332121664 its reverse (466121233211), we get a palindrome (578453354875).

The spelling of 112332121664 in words is "one hundred twelve billion, three hundred thirty-two million, one hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 250741343 501482686 1002965372 1755189401 2005930744 3510378802 4011861488 7020757604 8023722976 14041515208 16047445952 28083030416 56166060832 112332121664