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11429106656 = 251151536301
BaseRepresentation
bin10101010010011101…
…00101001111100000
31002111111212202220112
422221032211033200
5141401322403111
65130033230452
7553136542442
oct125116451740
932444782815
1011429106656
114935483aa0
12226b702428
131101aba406
147a5c90492
1546d5a1e8b
hex2a93a53e0

11429106656 has 48 divisors (see below), whose sum is σ = 24555264048. Its totient is φ = 5193216000.

The previous prime is 11429106653. The next prime is 11429106679. The reversal of 11429106656 is 65660192411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429106653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810706 + ... + 1817006.

It is an arithmetic number, because the mean of its divisors is an integer number (511568001).

Almost surely, 211429106656 is an apocalyptic number.

11429106656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11429106656 is an abundant number, since it is smaller than the sum of its proper divisors (13126157392).

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

11429106656 is a wasteful number, since it uses less digits than its factorization.

11429106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 11429106656 in words is "eleven billion, four hundred twenty-nine million, one hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 5153 6301 10306 12602 20612 25204 41224 50408 56683 69311 82448 100816 113366 138622 164896 201632 226732 277244 453464 554488 906928 1108976 1813856 2217952 32469053 64938106 129876212 259752424 357159583 519504848 714319166 1039009696 1428638332 2857276664 5714553328 11429106656