Search a number
-
+
19242953730 = 238571113293
BaseRepresentation
bin10001111010111110…
…000010110000000010
31211200002000100000000
4101322332002300002
5303402144004410
612501243140430
71250600256630
oct217276026002
954602010000
1019242953730
118185166a50
123890514716
131a788b3b70
14d0793c350
1577957adc0
hex47af82c02

19242953730 has 576 divisors, whose sum is σ = 69993600768. Its totient is φ = 3678359040.

The previous prime is 19242953729. The next prime is 19242953771. The reversal of 19242953730 is 3735924291.

19242953730 is a `hidden beast` number, since 1 + 92 + 4 + 29 + 537 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65675464 + ... + 65675756.

It is an arithmetic number, because the mean of its divisors is an integer number (121516668).

Almost surely, 219242953730 is an apocalyptic number.

19242953730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19242953730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34996800384).

19242953730 is an abundant number, since it is smaller than the sum of its proper divisors (50750647038).

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

19242953730 is a wasteful number, since it uses less digits than its factorization.

19242953730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 19242953730 in words is "nineteen billion, two hundred forty-two million, nine hundred fifty-three thousand, seven hundred thirty".