Search a number
-
+
86212800465 = 35112717392609
BaseRepresentation
bin101000001001010101…
…1101110111111010001
322020112022121001000220
41100102223232333101
52403030434103330
6103334451303253
76141301466331
oct1202253567721
9266468531026
1086212800465
1133620973020
12148605aab29
13818c31a2cc
14425bd3d0c1
152398b3d710
hex1412aeefd1

86212800465 has 64 divisors (see below), whose sum is σ = 151298150400. Its totient is φ = 41573606400.

The previous prime is 86212800413. The next prime is 86212800473. The reversal of 86212800465 is 56400821268.

It is not a de Polignac number, because 86212800465 - 211 = 86212798417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33043081 + ... + 33045689.

It is an arithmetic number, because the mean of its divisors is an integer number (2364033600).

Almost surely, 286212800465 is an apocalyptic number.

It is an amenable number.

86212800465 is a deficient number, since it is larger than the sum of its proper divisors (65085349935).

86212800465 is a wasteful number, since it uses less digits than its factorization.

86212800465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638.

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 86212800465 in words is "eighty-six billion, two hundred twelve million, eight hundred thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 271 739 813 1355 2217 2609 2981 3695 4065 7827 8129 8943 11085 13045 14905 24387 28699 39135 40645 44715 86097 121935 143495 200269 430485 600807 707039 1001345 1928051 2121117 2202959 3004035 3535195 5784153 6608877 7777429 9640255 10605585 11014795 21208561 23332287 28920765 33044385 38887145 63625683 106042805 116661435 318128415 522501821 1567505463 2612509105 5747520031 7837527315 17242560093 28737600155 86212800465