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109721448672 = 25311219613811
BaseRepresentation
bin110011000101111101…
…0000111000011100000
3101111012200021002210020
41212023322013003200
53244202142324142
6122223315233440
710632666632313
oct1461372070340
9344180232706
10109721448672
1142594996400
12193215a8880
13a46789ba34
14544c1d497a
152cc2923cec
hex198be870e0

109721448672 has 288 divisors, whose sum is σ = 334200101760. Its totient is φ = 31408819200.

The previous prime is 109721448667. The next prime is 109721448703. The reversal of 109721448672 is 276844127901.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 135291147 + ... + 135291957.

It is an arithmetic number, because the mean of its divisors is an integer number (1160417020).

Almost surely, 2109721448672 is an apocalyptic number.

109721448672 is a gapful number since it is divisible by the number (12) 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 109721448672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167100050880).

109721448672 is an abundant number, since it is smaller than the sum of its proper divisors (224478653088).

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

109721448672 is a wasteful number, since it uses less digits than its factorization.

109721448672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 109721448672 in words is "one hundred nine billion, seven hundred twenty-one million, four hundred forty-eight thousand, six hundred seventy-two".