Search a number
-
+
19903273728 = 2831331107601
BaseRepresentation
bin10010100010010100…
…111101101100000000
31220101002112001202020
4102202110331230000
5311230214224403
613050552121440
71303136015052
oct224224755400
956332461666
1019903273728
118493974158
123a35696280
131b5263c260
14d6b5078d2
157b7511453
hex4a253db00

19903273728 has 288 divisors, whose sum is σ = 59535931392. Its totient is φ = 5861376000.

The previous prime is 19903273727. The next prime is 19903273739. The reversal of 19903273728 is 82737230991.

It is a super-2 number, since 2×199032737282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19903273727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33116628 + ... + 33117228.

It is an arithmetic number, because the mean of its divisors is an integer number (206721984).

Almost surely, 219903273728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19903273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29767965696).

19903273728 is an abundant number, since it is smaller than the sum of its proper divisors (39632657664).

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

19903273728 is a wasteful number, since it uses less digits than its factorization.

19903273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 19903273728 in words is "nineteen billion, nine hundred three million, two hundred seventy-three thousand, seven hundred twenty-eight".