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112999085640 = 23345773131521
BaseRepresentation
bin110100100111101000…
…1010011011001001000
3101210200002201022110000
41221033101103121020
53322410231220030
6123524442323000
711110136244240
oct1511721233110
9353602638400
10112999085640
1143a17046591
1219a971b9460
13a86a9511ac
14567d62cb20
152e1555a860
hex1a4f453648

112999085640 has 640 divisors, whose sum is σ = 444215819520. Its totient is φ = 25231564800.

The previous prime is 112999085623. The next prime is 112999085653. The reversal of 112999085640 is 46580999211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 216888580 + ... + 216889100.

It is an arithmetic number, because the mean of its divisors is an integer number (694087218).

Almost surely, 2112999085640 is an apocalyptic number.

112999085640 is a gapful number since it is divisible by the number (10) 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 112999085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222107909760).

112999085640 is an abundant number, since it is smaller than the sum of its proper divisors (331216733880).

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

112999085640 is a wasteful number, since it uses less digits than its factorization.

112999085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 112999085640 in words is "one hundred twelve billion, nine hundred ninety-nine million, eighty-five thousand, six hundred forty".