Search a number
-
+
12085575432 = 2337312320579
BaseRepresentation
bin10110100000101101…
…10011111100001000
31011012021010211202220
423100112303330020
5144222401403212
65315123454040
7605330460540
oct132026637410
934167124686
1012085575432
115141aa0777
122413527320
1311a7ac7888
14829136320
154ab02638c
hex2d05b3f08

12085575432 has 64 divisors (see below), whose sum is σ = 35644108800. Its totient is φ = 3341632320.

The previous prime is 12085575427. The next prime is 12085575443. The reversal of 12085575432 is 23457558021.

It is a super-2 number, since 2×120855754322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1155082 + ... + 1165497.

It is an arithmetic number, because the mean of its divisors is an integer number (556939200).

Almost surely, 212085575432 is an apocalyptic number.

12085575432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12085575432 is an abundant number, since it is smaller than the sum of its proper divisors (23558533368).

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

12085575432 is a wasteful number, since it uses less digits than its factorization.

12085575432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320626 (or 2320622 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 12085575432 in words is "twelve billion, eighty-five million, five hundred seventy-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 2320579 4641158 6961737 9282316 13923474 16244053 18564632 27846948 32488106 48732159 55693896 64976212 71937949 97464318 129952424 143875898 194928636 215813847 287751796 389857272 431627694 503565643 575503592 863255388 1007131286 1510696929 1726510776 2014262572 3021393858 4028525144 6042787716 12085575432