Search a number
-
+
12032476128 = 253423201833
BaseRepresentation
bin10110011010011000…
…10000001111100000
31011001120020010020000
423031030100033200
5144120303214003
65305545420000
7604114234221
oct131514201740
934046203200
1012032476128
115115023452
1223b979a600
131199ac587a
14822073248
154a65381a3
hex2cd3103e0

12032476128 has 120 divisors (see below), whose sum is σ = 36925933968. Its totient is φ = 3836422656.

The previous prime is 12032476117. The next prime is 12032476147. The reversal of 12032476128 is 82167423021.

It is a happy number.

12032476128 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 4 + 7 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12032476092 and 12032476101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41301 + ... + 160532.

Almost surely, 212032476128 is an apocalyptic number.

12032476128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12032476128 is an abundant number, since it is smaller than the sum of its proper divisors (24893457840).

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

12032476128 is a wasteful number, since it uses less digits than its factorization.

12032476128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201878 (or 201861 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 12032476128 its reverse (82167423021), we get a palindrome (94199899149).

The spelling of 12032476128 in words is "twelve billion, thirty-two million, four hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 201833 403666 605499 807332 1210998 1614664 1816497 2421996 3229328 3632994 4642159 4843992 5449491 6458656 7265988 9284318 9687984 10898982 13926477 14531976 16348473 18568636 19375968 21797964 27852954 29063952 32696946 37137272 41779431 43595928 55705908 58127904 65393892 74274544 83558862 87191856 111411816 125338293 130787784 148549088 167117724 174383712 222823632 250676586 261575568 334235448 376014879 445647264 501353172 523151136 668470896 752029758 1002706344 1336941792 1504059516 2005412688 3008119032 4010825376 6016238064 12032476128