Search a number
-
+
19928496000 = 273537237229
BaseRepresentation
bin10010100011110101…
…001011011110000000
31220102211222111012110
4102203311023132000
5311303143333000
613053252455320
71303563264300
oct224365133600
956384874173
1019928496000
1184a7131006
123a4201a540
131b5793068a
14d709d1600
157b9844850
hex4a3d4b780

19928496000 has 768 divisors, whose sum is σ = 79270401600. Its totient is φ = 4412620800.

The previous prime is 19928495989. The next prime is 19928496023. The reversal of 19928496000 is 69482991.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 87023886 + ... + 87024114.

Almost surely, 219928496000 is an apocalyptic number.

19928496000 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 19928496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39635200800).

19928496000 is an abundant number, since it is smaller than the sum of its proper divisors (59341905600).

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

19928496000 is a wasteful number, since it uses less digits than its factorization.

19928496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 19928496000 in words is "nineteen billion, nine hundred twenty-eight million, four hundred ninety-six thousand".