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19172039040 = 273557111601
BaseRepresentation
bin10001110110101111…
…100001100110000000
31211111010120111100000
4101312233201212000
5303231020222130
612450231200000
71246046433360
oct216657414600
954433514300
1019172039040
118149130770
123870816000
131a66cb4bcb
14cdc35c9a0
1577321e260
hex476be1980

19172039040 has 768 divisors, whose sum is σ = 85649840640. Its totient is φ = 3981312000.

The previous prime is 19172039027. The next prime is 19172039071. The reversal of 19172039040 is 4093027191.

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

It is a junction number, because it is equal to n+sod(n) for n = 19172038986 and 19172039004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974240 + ... + 11975840.

It is an arithmetic number, because the mean of its divisors is an integer number (111523230).

Almost surely, 219172039040 is an apocalyptic number.

19172039040 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 19172039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42824920320).

19172039040 is an abundant number, since it is smaller than the sum of its proper divisors (66477801600).

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

19172039040 is a wasteful number, since it uses less digits than its factorization.

19172039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 19172039040 in words is "nineteen billion, one hundred seventy-two million, thirty-nine thousand, forty".