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1768105716 = 2231325771511
BaseRepresentation
bin110100101100011…
…0010011011110100
311120020000002001220
41221120302123310
512110113340331
6451240350340
761546436106
oct15130623364
94506002056
101768105716
1182805aaa3
124141753b0
13222403b00
1412ab73576
15a5358296
hex696326f4

1768105716 has 72 divisors (see below), whose sum is σ = 4478048064. Its totient is φ = 542730240.

The previous prime is 1768105673. The next prime is 1768105733. The reversal of 1768105716 is 6175018671.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169401 + ... + 1170911.

It is an arithmetic number, because the mean of its divisors is an integer number (62195112).

Almost surely, 21768105716 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 1768105716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239024032).

1768105716 is an abundant number, since it is smaller than the sum of its proper divisors (2709942348).

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

1768105716 is a wasteful number, since it uses less digits than its factorization.

1768105716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 1768105716 is about 42048.8491638000. The cubic root of 1768105716 is about 1209.2128195130.

The spelling of 1768105716 in words is "one billion, seven hundred sixty-eight million, one hundred five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 577 676 1014 1154 1511 1731 2028 2308 3022 3462 4533 6044 6924 7501 9066 15002 18132 19643 22503 30004 39286 45006 58929 78572 90012 97513 117858 195026 235716 255359 292539 390052 510718 585078 766077 871847 1021436 1170156 1532154 1743694 2615541 3064308 3487388 5231082 10462164 11334011 22668022 34002033 45336044 68004066 136008132 147342143 294684286 442026429 589368572 884052858 1768105716