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19340090280 = 23335723111789
BaseRepresentation
bin10010000000110000…
…100101101110101000
31211220211210101022000
4102000300211232220
5304102030342110
612515033131000
71253160024600
oct220060455650
954824711260
1019340090280
118224a82095
1238b8b59a60
131a92a64204
14d167c5c00
15782d671c0
hex480c25ba8

19340090280 has 384 divisors, whose sum is σ = 77417856000. Its totient is φ = 4277629440.

The previous prime is 19340090269. The next prime is 19340090299. The reversal of 19340090280 is 8209004391.

19340090280 is a `hidden beast` number, since 1 + 93 + 400 + 90 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1634626 + ... + 1646414.

It is an arithmetic number, because the mean of its divisors is an integer number (201609000).

Almost surely, 219340090280 is an apocalyptic number.

19340090280 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 19340090280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38708928000).

19340090280 is an abundant number, since it is smaller than the sum of its proper divisors (58077765720).

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

19340090280 is a wasteful number, since it uses less digits than its factorization.

19340090280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19340090280 in words is "nineteen billion, three hundred forty million, ninety thousand, two hundred eighty".