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216234596196 = 22341016607829
BaseRepresentation
bin1100100101100010010…
…1100001011101100100
3202200010202112121210000
43021120211201131210
512020322024034241
6243200425501300
721423331512153
oct3113045413544
9680122477700
10216234596196
1183782879653
1235aa8641830
1317510883708
14a67427d59a
155958859eb6
hex3258961764

216234596196 has 60 divisors (see below), whose sum is σ = 570876865020. Its totient is φ = 71364542400.

The previous prime is 216234596131. The next prime is 216234596197. The reversal of 216234596196 is 691695432612.

216234596196 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 34 + 596 + 19 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113578436196 + 102656160000 = 337014^2 + 320400^2 .

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

It is not an unprimeable number, because it can be changed into a prime (216234596197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3271191 + ... + 3336638.

It is an arithmetic number, because the mean of its divisors is an integer number (9514614417).

Almost surely, 2216234596196 is an apocalyptic number.

It is an amenable number.

216234596196 is an abundant number, since it is smaller than the sum of its proper divisors (354642268824).

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

216234596196 is a wasteful number, since it uses less digits than its factorization.

216234596196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607946 (or 6607935 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 216234596196 in words is "two hundred sixteen billion, two hundred thirty-four million, five hundred ninety-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 6607829 13215658 19823487 26431316 39646974 59470461 79293948 118940922 178411383 237881844 356822766 535234149 667390729 713645532 1070468298 1334781458 2002172187 2140936596 2669562916 4004344374 6006516561 8008688748 12013033122 18019549683 24026066244 36039099366 54058649049 72078198732 108117298098 216234596196