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19107741312 = 27321131127383
BaseRepresentation
bin10001110010111010…
…001111111010000000
31211022122120211102200
4101302322033322000
5303113040210222
612440013113200
71244336056422
oct216272177200
954278524380
1019107741312
118115904950
123853188800
131a56891a0a
14cd39c2812
1576c76ceac
hex472e8fe80

19107741312 has 384 divisors, whose sum is σ = 62568529920. Its totient is φ = 5544806400.

The previous prime is 19107741293. The next prime is 19107741337. The reversal of 19107741312 is 21314770191.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×191077413122 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49889473 + ... + 49889855.

It is an arithmetic number, because the mean of its divisors is an integer number (162938880).

Almost surely, 219107741312 is an apocalyptic number.

19107741312 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 19107741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31284264960).

19107741312 is an abundant number, since it is smaller than the sum of its proper divisors (43460788608).

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

19107741312 is a wasteful number, since it uses less digits than its factorization.

19107741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 19107741312 in words is "nineteen billion, one hundred seven million, seven hundred forty-one thousand, three hundred twelve".