Search a number
-
+
10553513412 = 22313831137213
BaseRepresentation
bin10011101010000100…
…11101010111000100
31000020111022000210010
421311002131113010
5133103144412122
64503114230220
7522345245451
oct116502352704
930214260703
1010553513412
114526201912
122066425370
13cc258abc0
14721888828
1541b796e0c
hex27509d5c4

10553513412 has 96 divisors (see below), whose sum is σ = 27079855488. Its totient is φ = 3179280384.

The previous prime is 10553513389. The next prime is 10553513413. The reversal of 10553513412 is 21431535501.

It is a super-2 number, since 2×105535134122 (a number of 21 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 10553513412.

It is not an unprimeable number, because it can be changed into a prime (10553513413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459518 + ... + 1466730.

It is an arithmetic number, because the mean of its divisors is an integer number (282081828).

Almost surely, 210553513412 is an apocalyptic number.

10553513412 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 10553513412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539927744).

10553513412 is an abundant number, since it is smaller than the sum of its proper divisors (16526342076).

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

10553513412 is a wasteful number, since it uses less digits than its factorization.

10553513412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10553513412 in words is "ten billion, five hundred fifty-three million, five hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 113 156 166 226 249 332 339 452 498 678 996 1079 1356 1469 2158 2938 3237 4316 4407 5876 6474 7213 8814 9379 12948 14426 17628 18758 21639 28137 28852 37516 43278 56274 86556 93769 112548 121927 187538 243854 281307 365781 375076 487708 562614 598679 731562 815069 1125228 1197358 1463124 1630138 1796037 2394716 2445207 3260276 3592074 4890414 7184148 7782827 9780828 10595897 15565654 21191794 23348481 31131308 31787691 42383588 46696962 63575382 67650727 93393924 127150764 135301454 202952181 270602908 405904362 811808724 879459451 1758918902 2638378353 3517837804 5276756706 10553513412