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12869034528 = 253737517577
BaseRepresentation
bin10111111110000110…
…11110001000100000
31020012212100200121110
423333003132020200
5202323433101103
65524552023320
7633622663050
oct137703361040
936185320543
1012869034528
115504264129
1225b1991b40
1312a120893c
148a11d7560
15504bd2403
hex2ff0de220

12869034528 has 96 divisors (see below), whose sum is σ = 39650615424. Its totient is φ = 3577485312.

The previous prime is 12869034517. The next prime is 12869034593. The reversal of 12869034528 is 82543096821.

12869034528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×128690345282 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 233925 + ... + 283652.

It is an arithmetic number, because the mean of its divisors is an integer number (413027244).

Almost surely, 212869034528 is an apocalyptic number.

It is an amenable number.

12869034528 is an abundant number, since it is smaller than the sum of its proper divisors (26781580896).

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

12869034528 is a wasteful number, since it uses less digits than its factorization.

12869034528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517634 (or 517626 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 12869034528 in words is "twelve billion, eight hundred sixty-nine million, thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 517577 1035154 1552731 2070308 3105462 3623039 4140616 6210924 7246078 8281232 10869117 12421848 14492156 16562464 19150349 21738234 24843696 28984312 38300698 43476468 49687392 57451047 57968624 76601396 86952936 114902094 115937248 134052443 153202792 173905872 229804188 268104886 306405584 347811744 402157329 459608376 536209772 612811168 804314658 919216752 1072419544 1608629316 1838433504 2144839088 3217258632 4289678176 6434517264 12869034528