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128264014482768 = 24322147234148239
BaseRepresentation
bin11101001010011111001011…
…000001010100110101010000
3121211010220211200222210010100
4131022133023001110311100
5113302434200201422033
61132443401431332400
736005524564241463
oct3512371301246520
9554126750883110
10128264014482768
1137961510380a5a
1212476512b21100
1356753246bc968
1423960234c72da
15ec6694929513
hex74a7cb054d50

128264014482768 has 60 divisors (see below), whose sum is σ = 358962854361280. Its totient is φ = 42754462072128.

The previous prime is 128264014482739. The next prime is 128264014482811. The reversal of 128264014482768 is 867284410462821.

128264014482768 is a `hidden beast` number, since 1 + 2 + 82 + 6 + 4 + 0 + 1 + 4 + 482 + 76 + 8 = 666.

128264014482768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1282640144827682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28845993 + ... + 32994231.

Almost surely, 2128264014482768 is an apocalyptic number.

128264014482768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128264014482768 is an abundant number, since it is smaller than the sum of its proper divisors (230698839878512).

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

128264014482768 is a wasteful number, since it uses less digits than its factorization.

128264014482768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362976 (or 4362967 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 128264014482768 in words is "one hundred twenty-eight trillion, two hundred sixty-four billion, fourteen million, four hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 214723 429446 644169 858892 1288338 1717784 1932507 2576676 3435568 3865014 4148239 5153352 7730028 8296478 10306704 12444717 15460056 16592956 24889434 30920112 33185912 37334151 49778868 66371824 74668302 99557736 149336604 199115472 298673208 597346416 890722322797 1781444645594 2672166968391 3562889291188 5344333936782 7125778582376 8016500905173 10688667873564 14251557164752 16033001810346 21377335747128 32066003620692 42754671494256 64132007241384 128264014482768