Search a number
-
+
2146774118496 = 253732331611499
BaseRepresentation
bin11111001111010101101…
…101010111000001100000
321121020012101020121022220
4133033111231113001200
5240133043133242441
64322114151431040
7311046030633000
oct37172555270140
97536171217286
102146774118496
11758495029467
122a8086385480
131275946b27b7
1475c93a3a000
153ac9879a466
hex1f3d5b57060

2146774118496 has 768 divisors, whose sum is σ = 7199539200000. Its totient is φ = 558090086400.

The previous prime is 2146774118399. The next prime is 2146774118579. The reversal of 2146774118496 is 6948114776412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1432136755 + ... + 1432138253.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400000).

Almost surely, 22146774118496 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 2146774118496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600000).

2146774118496 is an abundant number, since it is smaller than the sum of its proper divisors (5052765081504).

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

2146774118496 is a wasteful number, since it uses less digits than its factorization.

2146774118496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1626 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 2146774118496 in words is "two trillion, one hundred forty-six billion, seven hundred seventy-four million, one hundred eighteen thousand, four hundred ninety-six".