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968063093337 = 3199
BaseRepresentation
bin11100001011001010000…
…11101000101001011001
310102112201222111110200010
432011211003220221121
5111330043122441322
62020415543432133
7126640335344664
oct16054503505131
93375658443603
10968063093337
1134360a41925a
1213774a455649
137039884a332
1434bd6a886db
151a2aca8e20c
hexe1650e8a59

968063093337 has 20 divisors (see below), whose sum is σ = 1362459168400. Its totient is φ = 611408269476.

The previous prime is 968063093321. The next prime is 968063093339. The reversal of 968063093337 is 733390360869.

It is a happy number.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=6859.

It is not a de Polignac number, because 968063093337 - 24 = 968063093321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968063093339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50950689114 + ... + 50950689132.

It is an arithmetic number, because the mean of its divisors is an integer number (68122958420).

Almost surely, 2968063093337 is an apocalyptic number.

It is an amenable number.

968063093337 is a deficient number, since it is larger than the sum of its proper divisors (394396075063).

968063093337 is an frugal number, since it uses more digits than its factorization.

968063093337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 57.

Multiplying 968063093337 by its sum of digits (57), we get a square (55179596320209 = 74282972).

968063093337 divided by its sum of digits (57) gives a 8-th power (16983563041 = 198).

The spelling of 968063093337 in words is "nine hundred sixty-eight billion, sixty-three million, ninety-three thousand, three hundred thirty-seven".

Divisors: 1 3 19 57 361 1083 6859 20577 130321 390963 2476099 7428297 47045881 141137643 893871739 2681615217 16983563041 50950689123 322687697779 968063093337