Search a number
-
+
196919648556840 = 2333511231193251861
BaseRepresentation
bin101100110001100011101101…
…101100111001011100101000
3221211020100000212221112202000
4230301203231230321130220
5201302312420012304330
61534451345423411000
756322655315131246
oct5461435554713450
9854210025845660
10196919648556840
1157821176a20100
121a10441ba53a60
1385b559b887151
14368ad6742b796
1517b74ea5aa560
hexb318edb39728

196919648556840 has 768 divisors, whose sum is σ = 748632190924800. Its totient is φ = 45958606848000.

The previous prime is 196919648556823. The next prime is 196919648556857. The reversal of 196919648556840 is 48655846919691.

It is a happy number.

196919648556840 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 1 + 9 + 6 + 4 + 8 + 5 + 568 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (196919648556823) and next prime (196919648556857).

It is a self number, because there is not a number n which added to its sum of digits gives 196919648556840.

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, 781732510 + ... + 781984370.

It is an arithmetic number, because the mean of its divisors is an integer number (974781498600).

Almost surely, 2196919648556840 is an apocalyptic number.

196919648556840 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 196919648556840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374316095462400).

196919648556840 is an abundant number, since it is smaller than the sum of its proper divisors (551712542367960).

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

196919648556840 is a wasteful number, since it uses less digits than its factorization.

196919648556840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252127 (or 252106 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 196919648556840 in words is "one hundred ninety-six trillion, nine hundred nineteen billion, six hundred forty-eight million, five hundred fifty-six thousand, eight hundred forty".