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2957835054496 = 2572192931110437
BaseRepresentation
bin101011000010101100101…
…101010010110110100000
3101110202200121111010000211
4223002230231102312200
5341430121233220441
610142451034223504
7423460624063600
oct53025455226640
911422617433024
102957835054496
11a40457861083
123b92b8b84b94
13185bcc0a07ca
14a3234db4c00
1551e17b66a81
hex2b0acb52da0

2957835054496 has 288 divisors, whose sum is σ = 7614390873600. Its totient is φ = 1122100439040.

The previous prime is 2957835054487. The next prime is 2957835054497. The reversal of 2957835054496 is 6944505387592.

It is not an unprimeable number, because it can be changed into a prime (2957835054497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26727790 + ... + 26838226.

It is an arithmetic number, because the mean of its divisors is an integer number (26438857200).

Almost surely, 22957835054496 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 2957835054496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807195436800).

2957835054496 is an abundant number, since it is smaller than the sum of its proper divisors (4656555819104).

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

2957835054496 is a wasteful number, since it uses less digits than its factorization.

2957835054496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110540 (or 110525 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 67.

The spelling of 2957835054496 in words is "two trillion, nine hundred fifty-seven billion, eight hundred thirty-five million, fifty-four thousand, four hundred ninety-six".