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965825790930 = 2335711213324869
BaseRepresentation
bin11100000110111111011…
…01000000001111010010
310102022222001121201202000
432003133231000033102
5111311002400302210
62015405542334430
7126531030524310
oct16033755001722
93368861551660
10965825790930
11342671530900
1213722512a416
1370100187c60
1434a6389b0b0
151a1cb454ac0
hexe0dfb403d2

965825790930 has 384 divisors, whose sum is σ = 3484269734400. Its totient is φ = 185252728320.

The previous prime is 965825790913. The next prime is 965825790947. The reversal of 965825790930 is 39097528569.

965825790930 is a `hidden beast` number, since 9 + 6 + 58 + 2 + 579 + 0 + 9 + 3 + 0 = 666.

965825790930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (965825790913) and next prime (965825790947).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2810536 + ... + 3135404.

It is an arithmetic number, because the mean of its divisors is an integer number (9073619100).

Almost surely, 2965825790930 is an apocalyptic number.

965825790930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 965825790930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742134867200).

965825790930 is an abundant number, since it is smaller than the sum of its proper divisors (2518443943470).

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

965825790930 is a wasteful number, since it uses less digits than its factorization.

965825790930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324927 (or 324910 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 965825790930 in words is "nine hundred sixty-five billion, eight hundred twenty-five million, seven hundred ninety thousand, nine hundred thirty".