Search a number
-
+
12925447244892 = 223271320271946471
BaseRepresentation
bin1011110000010111000010…
…1100010000110001011100
31200202122211122100011111100
42330011300230100301130
53143232303443314032
643253511332153100
72502555426550260
oct274056054206134
950678748304440
1012925447244892
1141337190053a6
121549056168790
13729b31255b40
143298488d00a0
1517634951697c
hexbc170b10c5c

12925447244892 has 144 divisors (see below), whose sum is σ = 40232361641472. Its totient is φ = 3407225662080.

The previous prime is 12925447244869. The next prime is 12925447244921. The reversal of 12925447244892 is 29844274452921.

12925447244892 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 544 + 7 + 2 + 4 + 4 + 89 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5667217 + ... + 7613687.

It is an arithmetic number, because the mean of its divisors is an integer number (279391400288).

Almost surely, 212925447244892 is an apocalyptic number.

12925447244892 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 12925447244892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116180820736).

12925447244892 is an abundant number, since it is smaller than the sum of its proper divisors (27306914396580).

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

12925447244892 is a wasteful number, since it uses less digits than its factorization.

12925447244892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948528 (or 1948523 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 12925447244892 in words is "twelve trillion, nine hundred twenty-five billion, four hundred forty-seven million, two hundred forty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 2027 3276 4054 6081 8108 12162 14189 18243 24324 26351 28378 36486 42567 52702 56756 72972 79053 85134 105404 127701 158106 170268 184457 237159 255402 316212 368914 474318 510804 553371 737828 948636 1106742 1660113 1946471 2213484 3320226 3892942 5839413 6640452 7785884 11678826 13625297 17518239 23357652 25304123 27250594 35036478 40875891 50608246 54501188 70072956 75912369 81751782 101216492 122627673 151824738 163503564 177128861 227737107 245255346 303649476 354257722 455474214 490510692 531386583 708515444 910948428 1062773166 1594159749 2125546332 3188319498 3945496717 6376638996 7890993434 11836490151 15781986868 23672980302 27618477019 35509470453 47345960604 51291457321 55236954038 71018940906 82855431057 102582914642 110473908076 142037881812 153874371963 165710862114 205165829284 248566293171 307748743926 331421724228 359040201247 461623115889 497132586342 615497487852 718080402494 923246231778 994265172684 1077120603741 1436160804988 1846492463556 2154241207482 3231361811223 4308482414964 6462723622446 12925447244892