Search a number
-
+
86242762104 = 23331756115331
BaseRepresentation
bin101000001010001111…
…0000001110101111000
322020121101222020200020
41100110132001311320
52403111121341404
6103341441410440
76142114245132
oct1202436016570
9266541866606
1086242762104
1133636877704
121486a639a20
1381955aa9a5
144261cdc052
15239b5aaed9
hex1414781d78

86242762104 has 64 divisors (see below), whose sum is σ = 222605921280. Its totient is φ = 27814752000.

The previous prime is 86242762087. The next prime is 86242762147. The reversal of 86242762104 is 40126724268.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5617719 + ... + 5633049.

It is an arithmetic number, because the mean of its divisors is an integer number (3478217520).

Almost surely, 286242762104 is an apocalyptic number.

It is an amenable number.

86242762104 is an abundant number, since it is smaller than the sum of its proper divisors (136363159176).

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

86242762104 is a wasteful number, since it uses less digits than its factorization.

86242762104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22932 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 86242762104 in words is "eighty-six billion, two hundred forty-two million, seven hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 7561 15122 15331 22683 30244 30662 45366 45993 60488 61324 90732 91986 122648 181464 183972 234391 367944 468782 475261 703173 937564 950522 1406346 1425783 1875128 1901044 2812692 2851566 3802088 5625384 5703132 11406264 115917691 231835382 347753073 463670764 695506146 927341528 1391012292 2782024584 3593448421 7186896842 10780345263 14373793684 21560690526 28747587368 43121381052 86242762104