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11293954656 = 253652118041
BaseRepresentation
bin10101000010010110…
…00001001001100000
31002011002120100012220
422201023001021200
5141112223022111
65104404351040
7546606013335
oct124113011140
932132510186
1011293954656
114876163326
1222323a5480
1310acab990a
14791d4c98c
154617a6e06
hex2a12c1260

11293954656 has 48 divisors (see below), whose sum is σ = 29652820848. Its totient is φ = 3763865600.

The previous prime is 11293954621. The next prime is 11293954681. The reversal of 11293954656 is 65645939211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11293954599 and 11293954608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616996 + ... + 635036.

It is an arithmetic number, because the mean of its divisors is an integer number (617767101).

Almost surely, 211293954656 is an apocalyptic number.

11293954656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11293954656 is an abundant number, since it is smaller than the sum of its proper divisors (18358866192).

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

11293954656 is a wasteful number, since it uses less digits than its factorization.

11293954656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24575 (or 24567 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The spelling of 11293954656 in words is "eleven billion, two hundred ninety-three million, nine hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6521 13042 18041 19563 26084 36082 39126 52168 54123 72164 78252 104336 108246 144328 156504 208672 216492 288656 313008 432984 577312 626016 865968 1731936 117645361 235290722 352936083 470581444 705872166 941162888 1411744332 1882325776 2823488664 3764651552 5646977328 11293954656