Search a number
-
+
115253356572 = 22333124723627
BaseRepresentation
bin110101101010110100…
…0101010100000011100
3102000111012112010211000
41223111220222200130
53342014324402242
6124540251230300
711220041236554
oct1532550524034
9360435463730
10115253356572
1144973573712
121a406148390
13ab399a4c13
145814b96164
152ee83e7a4c
hex1ad5a2a81c

115253356572 has 144 divisors (see below), whose sum is σ = 315337397760. Its totient is φ = 36385930080.

The previous prime is 115253356403. The next prime is 115253356577. The reversal of 115253356572 is 275653352511.

115253356572 is a `hidden beast` number, since 1 + 1 + 5 + 25 + 3 + 3 + 56 + 572 = 666.

It is a super-2 number, since 2×1152533565722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115253356577) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4866223 + ... + 4889849.

It is an arithmetic number, because the mean of its divisors is an integer number (2189843040).

Almost surely, 2115253356572 is an apocalyptic number.

115253356572 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 115253356572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157668698880).

115253356572 is an abundant number, since it is smaller than the sum of its proper divisors (200084041188).

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

115253356572 is a wasteful number, since it uses less digits than its factorization.

115253356572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23749 (or 23710 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The spelling of 115253356572 in words is "one hundred fifteen billion, two hundred fifty-three million, three hundred fifty-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 93 94 108 124 141 186 188 279 282 372 423 558 564 837 846 961 1116 1269 1457 1674 1692 1922 2538 2883 2914 3348 3844 4371 5076 5766 5828 8649 8742 11532 13113 17298 17484 23627 25947 26226 34596 39339 45167 47254 51894 52452 70881 78678 90334 94508 103788 135501 141762 157356 180668 212643 271002 283524 406503 425286 542004 637929 732437 813006 850572 1110469 1219509 1275858 1464874 1626012 2197311 2220938 2439018 2551716 2929748 3331407 4394622 4441876 4878036 6591933 6662814 8789244 9994221 13183866 13325628 19775799 19988442 22705547 26367732 29982663 34424539 39551598 39976884 45411094 59965326 68116641 68849078 79103196 90822188 103273617 119930652 136233282 137698156 204349923 206547234 272466564 309820851 408699846 413094468 613049769 619641702 817399692 929462553 1067160709 1226099538 1239283404 1858925106 2134321418 2452199076 3201482127 3717850212 4268642836 6402964254 9604446381 12805928508 19208892762 28813339143 38417785524 57626678286 115253356572