Search a number
-
+
10553015412 = 22323159831931
BaseRepresentation
bin10011101010000001…
…00011110001110100
31000020110100201122200
421311000203301310
5133103032443122
64503055424500
7522341102532
oct116500436164
930213321580
1010553015412
1145259a1745
122066225130
13cc2445324
14721799152
1541b6e95ac
hex275023c74

10553015412 has 144 divisors (see below), whose sum is σ = 28354959360. Its totient is φ = 3304468800.

The previous prime is 10553015393. The next prime is 10553015413. The reversal of 10553015412 is 21451035501.

10553015412 is a `hidden beast` number, since 105 + 530 + 15 + 4 + 12 = 666.

It is a super-2 number, since 2×105530154122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553015413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5464087 + ... + 5466017.

It is an arithmetic number, because the mean of its divisors is an integer number (196909440).

Almost surely, 210553015412 is an apocalyptic number.

10553015412 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 10553015412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177479680).

10553015412 is an abundant number, since it is smaller than the sum of its proper divisors (17801943948).

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

10553015412 is a wasteful number, since it uses less digits than its factorization.

10553015412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10553015412 in words is "ten billion, five hundred fifty-three million, fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 83 93 118 124 166 177 186 236 249 279 332 354 372 498 531 558 708 747 996 1062 1116 1494 1829 1931 2124 2573 2988 3658 3862 4897 5146 5487 5793 7316 7719 7724 9794 10292 10974 11586 14691 15438 16461 17379 19588 21948 23157 23172 29382 30876 32922 34758 44073 46314 58764 59861 65844 69516 88146 92628 113929 119722 151807 160273 176292 179583 227858 239444 303614 320546 341787 359166 455421 455716 480819 538749 607228 641092 683574 718332 910842 961638 1025361 1077498 1366263 1367148 1442457 1821684 1923276 2050722 2154996 2732526 2884914 3531799 4101444 4968463 5465052 5769828 7063598 9456107 9936926 10595397 14127196 14905389 18912214 19873852 21190794 28368321 29810778 31786191 37824428 42381588 44716167 56736642 59621556 63572382 85104963 89432334 113473284 127144764 170209926 178864668 293139317 340419852 586278634 879417951 1172557268 1758835902 2638253853 3517671804 5276507706 10553015412