Search a number
-
+
128278157456856 = 23311709685334431
BaseRepresentation
bin11101001010101100010110…
…000000011111010111011000
3121211012021100100111022021110
4131022230112000133113120
5113303202131302104411
61132454101052340320
736006535216445211
oct3512542600372730
9554167310438243
10128278157456856
11379675087527a0
12124791bb4746a0
13567676980a794
1423969a597a408
15ec6c213a02a6
hex74ab1601f5d8

128278157456856 has 64 divisors (see below), whose sum is σ = 350342961638400. Its totient is φ = 38817342115200.

The previous prime is 128278157456783. The next prime is 128278157456857. The reversal of 128278157456856 is 658654751872821.

It is a super-3 number, since 3×1282781574568563 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128278157456857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342480040 + ... + 342854391.

It is an arithmetic number, because the mean of its divisors is an integer number (5474108775600).

Almost surely, 2128278157456856 is an apocalyptic number.

It is an amenable number.

128278157456856 is an abundant number, since it is smaller than the sum of its proper divisors (222064804181544).

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

128278157456856 is a wasteful number, since it uses less digits than its factorization.

128278157456856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685335160 (or 685335156 counting only the distinct ones).

The product of its digits is 1806336000, while the sum is 75.

The spelling of 128278157456856 in words is "one hundred twenty-eight trillion, two hundred seventy-eight billion, one hundred fifty-seven million, four hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 709 1418 2127 2836 4254 5672 7799 8508 15598 17016 23397 31196 46794 62392 93588 187176 685334431 1370668862 2056003293 2741337724 4112006586 5482675448 7538678741 8224013172 15077357482 16448026344 22616036223 30154714964 45232072446 60309429928 90464144892 180928289784 485902111579 971804223158 1457706334737 1943608446316 2915412669474 3887216892632 5344923227369 5830825338948 10689846454738 11661650677896 16034769682107 21379692909476 32069539364214 42759385818952 64139078728428 128278157456856