Search a number
-
+
190992543840 = 25345717592099
BaseRepresentation
bin1011000111100000001…
…0101111000001100000
3200020222121011111120000
42301320002233001200
511112123042400330
6223424001020000
716540654556610
oct2617002570140
9606877144500
10190992543840
1173aaa34805a
1231023024600
131501a15b167
14935bac8a40
154e7c7c3560
hex2c780af060

190992543840 has 960 divisors, whose sum is σ = 829870272000. Its totient is φ = 40371830784.

The previous prime is 190992543821. The next prime is 190992543887. The reversal of 190992543840 is 48345299091.

190992543840 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 9 + 254 + 384 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90991111 + ... + 90993209.

It is an arithmetic number, because the mean of its divisors is an integer number (864448200).

Almost surely, 2190992543840 is an apocalyptic number.

190992543840 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 190992543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414935136000).

190992543840 is an abundant number, since it is smaller than the sum of its proper divisors (638877728160).

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

190992543840 is a wasteful number, since it uses less digits than its factorization.

190992543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 190992543840 in words is "one hundred ninety billion, nine hundred ninety-two million, five hundred forty-three thousand, eight hundred forty".