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119800380672 = 2833721720807
BaseRepresentation
bin110111110010010101…
…0001011110100000000
3102110020002112220021000
41233210222023310000
53430322344140142
6131011401532000
711440523301600
oct1574452136400
9373202486230
10119800380672
1146897212175
121b274aa4000
13b3b2a3441b
145b26a22c00
1531b26c414c
hex1be4a8bd00

119800380672 has 432 divisors, whose sum is σ = 436373723520. Its totient is φ = 32213680128.

The previous prime is 119800380659. The next prime is 119800380691. The reversal of 119800380672 is 276083008911.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1198003806722 (a number of 23 digits) contains 22 as substring.

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, 5747293 + ... + 5768099.

It is an arithmetic number, because the mean of its divisors is an integer number (1010124360).

Almost surely, 2119800380672 is an apocalyptic number.

119800380672 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 119800380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218186861760).

119800380672 is an abundant number, since it is smaller than the sum of its proper divisors (316573342848).

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

119800380672 is a wasteful number, since it uses less digits than its factorization.

119800380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20863 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 119800380672 in words is "one hundred nineteen billion, eight hundred million, three hundred eighty thousand, six hundred seventy-two".