Search a number
-
+
12500497692 = 2234477910391
BaseRepresentation
bin10111010010001011…
…00111010100011100
31012021011220002010000
423221011213110130
5201100111411232
65424225014300
7621526322454
oct135105472434
935234802100
1012500497692
115335228a31
12250a484390
131242a622c7
148682a2d64
154d268627c
hex2e916751c

12500497692 has 120 divisors (see below), whose sum is σ = 33799772160. Its totient is φ = 4026166560.

The previous prime is 12500497661. The next prime is 12500497721. The reversal of 12500497692 is 29679400521.

12500497692 is a `hidden beast` number, since 12 + 500 + 49 + 7 + 6 + 92 = 666.

12500497692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1197817 + ... + 1208207.

It is an arithmetic number, because the mean of its divisors is an integer number (281664768).

Almost surely, 212500497692 is an apocalyptic number.

12500497692 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 12500497692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899886080).

12500497692 is an abundant number, since it is smaller than the sum of its proper divisors (21299274468).

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

12500497692 is a wasteful number, since it uses less digits than its factorization.

12500497692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12500497692 in words is "twelve billion, five hundred million, four hundred ninety-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 79 81 94 108 141 158 162 188 237 282 316 324 423 474 564 711 846 948 1269 1422 1692 2133 2538 2844 3713 3807 4266 5076 6399 7426 7614 8532 10391 11139 12798 14852 15228 20782 22278 25596 31173 33417 41564 44556 62346 66834 93519 100251 124692 133668 187038 200502 280557 300753 374076 401004 488377 561114 601506 820889 841671 976754 1122228 1203012 1465131 1641778 1683342 1953508 2462667 2930262 3283556 3366684 4395393 4925334 5860524 7388001 8790786 9850668 13186179 14776002 17581572 22164003 26372358 29552004 38581783 39558537 44328006 52744716 66492009 77163566 79117074 88656012 115745349 132984018 154327132 158234148 231490698 265968036 347236047 462981396 694472094 1041708141 1388944188 2083416282 3125124423 4166832564 6250248846 12500497692