Search a number
-
+
86009639076 = 223654312
BaseRepresentation
bin101000000011010010…
…0101111000010100100
322020000011022101000000
41100012210233002210
52402121431422301
6103302353021300
76133253604144
oct1200644570244
9266004271000
1086009639076
1133527220949
1214804554830
1381591c707a
14423cd76924
152385dac786
hex140692f0a4

86009639076 has 63 divisors (see below), whose sum is σ = 225713627643. Its totient is φ = 28664600760.

The previous prime is 86009639047. The next prime is 86009639123. The reversal of 86009639076 is 67093690068.

It is a happy number.

The square root of 86009639076 is 293274.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×860096390762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15834081 + ... + 15839511.

Almost surely, 286009639076 is an apocalyptic number.

86009639076 is the 293274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86009639076

86009639076 is an abundant number, since it is smaller than the sum of its proper divisors (139703988567).

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

86009639076 is an frugal number, since it uses more digits than its factorization.

86009639076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 86009639076 in words is "eighty-six billion, nine million, six hundred thirty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5431 10862 16293 21724 32586 48879 65172 97758 146637 195516 293274 439911 586548 879822 1319733 1759644 2639466 3959199 5278932 7918398 15836796 29495761 58991522 88487283 117983044 176974566 265461849 353949132 530923698 796385547 1061847396 1592771094 2389156641 3185542188 4778313282 7167469923 9556626564 14334939846 21502409769 28669879692 43004819538 86009639076