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19010045376 = 26327192310789
BaseRepresentation
bin10001101101000101…
…100100010111000000
31211001211202100210200
4101231011210113000
5302413032423001
612422203125200
71242041501550
oct215505442700
954054670720
1019010045376
118075747503
123826513800
131a3c576b7a
14cc4a31160
15763dc1086
hex46d1645c0

19010045376 has 336 divisors, whose sum is σ = 68406873600. Its totient is φ = 4921399296.

The previous prime is 19010045347. The next prime is 19010045377. The reversal of 19010045376 is 67354001091.

19010045376 is a `hidden beast` number, since 19 + 0 + 100 + 4 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×190100453762 (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 a self number, because there is not a number n which added to its sum of digits gives 19010045376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19010045377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756590 + ... + 1767378.

Almost surely, 219010045376 is an apocalyptic number.

19010045376 is a gapful number since it is divisible by the number (16) 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 19010045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34203436800).

19010045376 is an abundant number, since it is smaller than the sum of its proper divisors (49396828224).

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

19010045376 is a wasteful number, since it uses less digits than its factorization.

19010045376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 19010045376 in words is "nineteen billion, ten million, forty-five thousand, three hundred seventy-six".