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794464409952 = 2536313313319
BaseRepresentation
bin10111000111110011100…
…01001101100101100000
32210221122120221122000000
423203321301031211200
5101004030342104302
61404545533300000
7111253366030353
oct13437161154540
92727576848000
10794464409952
11286a264a1a94
12109b80634600
1359bc11844c5
142a6490c629a
15159ec34231c
hexb8f9c4d960

794464409952 has 336 divisors, whose sum is σ = 2428772613120. Its totient is φ = 255427603200.

The previous prime is 794464409927. The next prime is 794464409969. The reversal of 794464409952 is 259904464497.

794464409952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 794464409952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 239366949 + ... + 239370267.

It is an arithmetic number, because the mean of its divisors is an integer number (7228489920).

Almost surely, 2794464409952 is an apocalyptic number.

794464409952 is a gapful number since it is divisible by the number (72) 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 794464409952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214386306560).

794464409952 is an abundant number, since it is smaller than the sum of its proper divisors (1634308203168).

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

794464409952 is a wasteful number, since it uses less digits than its factorization.

794464409952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 794464409952 in words is "seven hundred ninety-four billion, four hundred sixty-four million, four hundred nine thousand, nine hundred fifty-two".