Search a number
-
+
11256993847152 = 2432174598445199
BaseRepresentation
bin1010001111001111100100…
…0111101001011101110000
31110212011021020220210002200
42203303321013221131300
52433413310411102102
635535220325343200
72241201541635114
oct243637107513560
943764236823080
1011256993847152
113650078615029
121319820567b00
136386b7443431
142acbacb81744
15147c484c451c
hexa3cf91e9770

11256993847152 has 60 divisors (see below), whose sum is σ = 33357121480800. Its totient is φ = 3531605912064.

The previous prime is 11256993847133. The next prime is 11256993847153. The reversal of 11256993847152 is 25174839965211.

It is a happy number.

11256993847152 is a `hidden beast` number, since 1 + 1 + 2 + 56 + 99 + 384 + 71 + 52 = 666.

It is a super-2 number, since 2×112569938471522 (a number of 27 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 11256993847152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11256993847153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2299220152 + ... + 2299225047.

It is an arithmetic number, because the mean of its divisors is an integer number (555952024680).

Almost surely, 211256993847152 is an apocalyptic number.

11256993847152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11256993847152 is an abundant number, since it is smaller than the sum of its proper divisors (22100127633648).

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

11256993847152 is a wasteful number, since it uses less digits than its factorization.

11256993847152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598445230 (or 4598445221 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 11256993847152 in words is "eleven trillion, two hundred fifty-six billion, nine hundred ninety-three million, eight hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4598445199 9196890398 13795335597 18393780796 27590671194 36787561592 41386006791 55181342388 73575123184 78173568383 82772013582 110362684776 156347136766 165544027164 220725369552 234520705149 312694273532 331088054328 469041410298 625388547064 662176108656 703562115447 938082820596 1250777094128 1407124230894 1876165641192 2814248461788 3752331282384 5628496923576 11256993847152