Search a number
-
+
192883991040 = 2935513172361
BaseRepresentation
bin1011001110100011001…
…0000010001000000000
3200102212102020222100000
42303220302002020000
511130011300203130
6224335405200000
716635562605126
oct2635062021000
9612772228300
10192883991040
117488aa91364
1231470560000
131525bc88aa0
14949ada7916
15503d892260
hex2ce8c82200

192883991040 has 1920 divisors, whose sum is σ = 837783378432. Its totient is φ = 42042654720.

The previous prime is 192883991039. The next prime is 192883991051. The reversal of 192883991040 is 40199388291.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3162032610 + ... + 3162032670.

Almost surely, 2192883991040 is an apocalyptic number.

192883991040 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 192883991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418891689216).

192883991040 is an abundant number, since it is smaller than the sum of its proper divisors (644899387392).

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

192883991040 is a wasteful number, since it uses less digits than its factorization.

192883991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 192883991040 in words is "one hundred ninety-two billion, eight hundred eighty-three million, nine hundred ninety-one thousand, forty".