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995012341920 = 253351723147547
BaseRepresentation
bin11100111101010110101…
…10110111000010100000
310112010022010021010212000
432132223112313002200
5112300241124420140
62041034035404000
7131613222233562
oct16365326670240
93463263233760
10995012341920
11353a89588623
12140a0b753600
1372aa1b6b77c
1436231c79332
151ad3894ba30
hexe7ab5b70a0

995012341920 has 1152 divisors, whose sum is σ = 3907166699520. Its totient is φ = 236098437120.

The previous prime is 995012341867. The next prime is 995012342003. The reversal of 995012341920 is 29143210599.

995012341920 is a `hidden beast` number, since 9 + 95 + 0 + 123 + 419 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1819035087 + ... + 1819035633.

It is an arithmetic number, because the mean of its divisors is an integer number (3391637760).

Almost surely, 2995012341920 is an apocalyptic number.

995012341920 is a gapful number since it is divisible by the number (90) 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 995012341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953583349760).

995012341920 is an abundant number, since it is smaller than the sum of its proper divisors (2912154357600).

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

995012341920 is a wasteful number, since it uses less digits than its factorization.

995012341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 995012341920 in words is "nine hundred ninety-five billion, twelve million, three hundred forty-one thousand, nine hundred twenty".