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1710106664 = 23725997283
BaseRepresentation
bin110010111101110…
…0010100000101000
311102011212102022212
41211323202200220
512000241403124
6441405304252
760243444500
oct14573424050
94364772285
101710106664
117a83464a2
123b8865088
132133a7846
14123196a00
15a01ed40e
hex65ee2828

1710106664 has 48 divisors (see below), whose sum is σ = 3736692000. Its totient is φ = 731578848.

The previous prime is 1710106633. The next prime is 1710106669. The reversal of 1710106664 is 4666010171.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1710106664.

It is not an unprimeable number, because it can be changed into a prime (1710106669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231167 + ... + 238449.

It is an arithmetic number, because the mean of its divisors is an integer number (77847750).

Almost surely, 21710106664 is an apocalyptic number.

1710106664 is a gapful number since it is divisible by the number (14) 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 1710106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868346000).

1710106664 is an abundant number, since it is smaller than the sum of its proper divisors (2026585336).

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

1710106664 is a wasteful number, since it uses less digits than its factorization.

1710106664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1710106664 is about 41353.4359394718. The cubic root of 1710106664 is about 1195.8436446199.

The spelling of 1710106664 in words is "one billion, seven hundred ten million, one hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 599 1198 2396 4193 4792 7283 8386 14566 16772 29132 29351 33544 50981 58264 58702 101962 117404 203924 234808 356867 407848 713734 1427468 2854936 4362517 8725034 17450068 30537619 34900136 61075238 122150476 213763333 244300952 427526666 855053332 1710106664