Search a number
-
+
196106520960 = 273557192499
BaseRepresentation
bin1011011010100011011…
…1000000100110000000
3200202012000000110100000
42312220313000212000
511203111232132320
6230031243200000
720111462632110
oct2665067004600
9622160013300
10196106520960
1176194022829
123200b816000
13156537b541c
1496c4d79040
15517b740c90
hex2da8dc0980

196106520960 has 1152 divisors, whose sum is σ = 848746080000. Its totient is φ = 42380070912.

The previous prime is 196106520959. The next prime is 196106520977. The reversal of 196106520960 is 69025601691.

It is a happy number.

196106520960 is a `hidden beast` number, since 1 + 9 + 61 + 0 + 6 + 520 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 392998791 + ... + 392999289.

It is an arithmetic number, because the mean of its divisors is an integer number (736758750).

Almost surely, 2196106520960 is an apocalyptic number.

196106520960 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 196106520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424373040000).

196106520960 is an abundant number, since it is smaller than the sum of its proper divisors (652639559040).

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

196106520960 is an equidigital number, since it uses as much as digits as its factorization.

196106520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 196106520960 in words is "one hundred ninety-six billion, one hundred six million, five hundred twenty thousand, nine hundred sixty".