Search a number
-
+
19242375552 = 2734192331137
BaseRepresentation
bin10001111010111011…
…110101100110000000
31211200000220221220000
4101322323311212000
5303402022004202
612501222520000
71250562331161
oct217273654600
954600827800
1019242375552
118184901614
123890296000
131a7874094a
14d0782b768
157794b491c
hex47aef5980

19242375552 has 640 divisors, whose sum is σ = 65402726400. Its totient is φ = 5583790080.

The previous prime is 19242375541. The next prime is 19242375577. The reversal of 19242375552 is 25557324291.

19242375552 is a `hidden beast` number, since 1 + 9 + 2 + 4 + 23 + 75 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19242375498 and 19242375507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140455228 + ... + 140455364.

It is an arithmetic number, because the mean of its divisors is an integer number (102191760).

Almost surely, 219242375552 is an apocalyptic number.

19242375552 is a gapful number since it is divisible by the number (12) 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 19242375552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32701363200).

19242375552 is an abundant number, since it is smaller than the sum of its proper divisors (46160350848).

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

19242375552 is a wasteful number, since it uses less digits than its factorization.

19242375552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 19242375552 in words is "nineteen billion, two hundred forty-two million, three hundred seventy-five thousand, five hundred fifty-two".