Search a number
-
+
192814928640 = 28325139120413
BaseRepresentation
bin1011001110010010101…
…0100101001100000000
3200102200121022020112100
42303210222211030000
511124341110204030
6224324501030400
716634063565045
oct2634452451400
9612617266470
10192814928640
11748550007a4
12314513b5400
131524a887c69
149491b4b1cc
15503779e360
hex2ce4aa5300

192814928640 has 216 divisors, whose sum is σ = 671924569680. Its totient is φ = 51046981632.

The previous prime is 192814928623. The next prime is 192814928671. The reversal of 192814928640 is 46829418291.

It is a happy number.

192814928640 is a `hidden beast` number, since 1 + 9 + 281 + 49 + 286 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541074 + ... + 1661486.

Almost surely, 2192814928640 is an apocalyptic number.

192814928640 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 192814928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335962284840).

192814928640 is an abundant number, since it is smaller than the sum of its proper divisors (479109641040).

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

192814928640 is a wasteful number, since it uses less digits than its factorization.

192814928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120579 (or 120562 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 192814928640 in words is "one hundred ninety-two billion, eight hundred fourteen million, nine hundred twenty-eight thousand, six hundred forty".