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12262685952 = 283112131959
BaseRepresentation
bin10110110101110100…
…11011110100000000
31011122121101222201210
423122322123310000
5200103221422302
65344451530120
7612611052666
oct133272336400
934577358653
1012262685952
115222a6a500
1224628b9940
1312056c94ba
1484487ac36
154bb85d66c
hex2dae9bd00

12262685952 has 108 divisors (see below), whose sum is σ = 35873589920. Its totient is φ = 3715937280.

The previous prime is 12262685947. The next prime is 12262685959. The reversal of 12262685952 is 25958626221.

12262685952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262685959) 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 11 ways as a sum of consecutive naturals, for example, 26949 + ... + 158907.

Almost surely, 212262685952 is an apocalyptic number.

12262685952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12262685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936794960).

12262685952 is an abundant number, since it is smaller than the sum of its proper divisors (23610903968).

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

12262685952 is a wasteful number, since it uses less digits than its factorization.

12262685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132000 (or 131975 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 12262685952 in words is "twelve billion, two hundred sixty-two million, six hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 131959 263918 395877 527836 791754 1055672 1451549 1583508 2111344 2903098 3167016 4222688 4354647 5806196 6334032 8445376 8709294 11612392 12668064 15967039 16890752 17418588 23224784 25336128 31934078 33781504 34837176 46449568 47901117 50672256 63868156 69674352 92899136 95802234 101344512 127736312 139348704 185798272 191604468 255472624 278697408 371596544 383208936 510945248 557394816 766417872 1021890496 1114789632 1532835744 2043780992 3065671488 4087561984 6131342976 12262685952