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119930952960 = 28325713233491
BaseRepresentation
bin110111110110001110…
…0010001110100000000
3102110120012020122202200
41233230130101310000
53431104310443320
6131032344313200
711444000165040
oct1575434216400
9373505218680
10119930952960
1146953995055
121b2b0772800
13b403ac0530
145b3a0d1720
1531bddb7290
hex1bec711d00

119930952960 has 864 divisors, whose sum is σ = 513942444288. Its totient is φ = 25144197120.

The previous prime is 119930952931. The next prime is 119930953001. The reversal of 119930952960 is 69259039911.

It is a junction number, because it is equal to n+sod(n) for n = 119930952897 and 119930952906.

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 95 ways as a sum of consecutive naturals, for example, 244258315 + ... + 244258805.

It is an arithmetic number, because the mean of its divisors is an integer number (594840792).

Almost surely, 2119930952960 is an apocalyptic number.

119930952960 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 119930952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256971222144).

119930952960 is an abundant number, since it is smaller than the sum of its proper divisors (394011491328).

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

119930952960 is a wasteful number, since it uses less digits than its factorization.

119930952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 119930952960 in words is "one hundred nineteen billion, nine hundred thirty million, nine hundred fifty-two thousand, nine hundred sixty".