Search a number
-
+
25682849556 = 22371321995219
BaseRepresentation
bin10111111010110100…
…010010111100010100
32110021212210221022020
4113322310102330110
5410044302141211
615444252333140
71566305422260
oct277264227424
973255727266
1025682849556
11a98a332001
124b891741b0
132563b4c500
141358d390a0
15a04b08306
hex5fad12f14

25682849556 has 144 divisors (see below), whose sum is σ = 78065164800. Its totient is φ = 6416931456.

The previous prime is 25682849531. The next prime is 25682849593. The reversal of 25682849556 is 65594828652.

It is a super-2 number, since 2×256828495562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25682849556.

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, 222115 + ... + 317333.

It is an arithmetic number, because the mean of its divisors is an integer number (542119200).

Almost surely, 225682849556 is an apocalyptic number.

25682849556 is a gapful number since it is divisible by the number (26) 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 25682849556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39032582400).

25682849556 is an abundant number, since it is smaller than the sum of its proper divisors (52382315244).

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

25682849556 is a wasteful number, since it uses less digits than its factorization.

25682849556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95278 (or 95263 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 60.

The spelling of 25682849556 in words is "twenty-five billion, six hundred eighty-two million, eight hundred forty-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 169 182 228 247 266 273 338 364 399 494 507 532 546 676 741 798 988 1014 1092 1183 1482 1596 1729 2028 2366 2964 3211 3458 3549 4732 5187 6422 6916 7098 9633 10374 12844 14196 19266 20748 22477 38532 44954 67431 89908 95219 134862 190438 269724 285657 380876 571314 666533 1142628 1237847 1333066 1809161 1999599 2475694 2666132 3618322 3713541 3999198 4951388 5427483 7236644 7427082 7998396 8664929 10854966 12664127 14854164 16092011 17329858 21709932 23519093 25328254 25994787 32184022 34659716 37992381 47038186 48276033 50656508 51989574 64368044 70557279 75984762 94076372 96552066 103979148 112644077 141114558 151969524 164633651 193104132 225288154 282229116 305748209 329267302 337932231 450576308 493900953 611496418 658534604 675864462 917244627 987801906 1222992836 1351728924 1834489254 1975603812 2140237463 3668978508 4280474926 6420712389 8560949852 12841424778 25682849556