Search a number
-
+
12136017888 = 253331453107
BaseRepresentation
bin10110100110101110…
…01110111111100000
31011022210001120211000
423103113032333200
5144323310033023
65324124552000
7606512310231
oct132327167740
934283046730
1012136017888
115168513955
1224283b2600
1311b53a9497
14831b07088
154b068c243
hex2d35cefe0

12136017888 has 96 divisors (see below), whose sum is σ = 36538629120. Its totient is φ = 3914835840.

The previous prime is 12136017869. The next prime is 12136017937. The reversal of 12136017888 is 88871063121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 199770 + ... + 253337.

It is an arithmetic number, because the mean of its divisors is an integer number (380610720).

Almost surely, 212136017888 is an apocalyptic number.

12136017888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12136017888 is an abundant number, since it is smaller than the sum of its proper divisors (24402611232).

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

12136017888 is a wasteful number, since it uses less digits than its factorization.

12136017888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453157 (or 453143 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12136017888 in words is "twelve billion, one hundred thirty-six million, seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 453107 906214 1359321 1812428 2718642 3624856 4077963 5437284 7249712 8155926 10874568 12233889 14046317 14499424 16311852 21749136 24467778 28092634 32623704 42138951 43498272 48935556 56185268 65247408 84277902 97871112 112370536 126416853 130494816 168555804 195742224 224741072 252833706 337111608 379250559 391484448 449482144 505667412 674223216 758501118 1011334824 1348446432 1517002236 2022669648 3034004472 4045339296 6068008944 12136017888