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196265474064 = 2437113713781
BaseRepresentation
bin1011011011001001010…
…1010111100000010000
3200202121002010010000000
42312302111113200100
511203422430132224
6230055122130000
720115433001202
oct2666225274020
9622532103000
10196265474064
117626581a630
1232054ab0900
131567a6ca50a
1496dc114772
15518a68d0c9
hex2db2557810

196265474064 has 320 divisors, whose sum is σ = 639017314560. Its totient is φ = 57862771200.

The previous prime is 196265474047. The next prime is 196265474071. The reversal of 196265474064 is 460474562691.

196265474064 is a `hidden beast` number, since 1 + 9 + 626 + 5 + 4 + 7 + 4 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 196265474064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14234854 + ... + 14248634.

It is an arithmetic number, because the mean of its divisors is an integer number (1996929108).

Almost surely, 2196265474064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196265474064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319508657280).

196265474064 is an abundant number, since it is smaller than the sum of its proper divisors (442751840496).

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

196265474064 is a wasteful number, since it uses less digits than its factorization.

196265474064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 196265474064 in words is "one hundred ninety-six billion, two hundred sixty-five million, four hundred seventy-four thousand, sixty-four".