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11749239456 = 2531941157109
BaseRepresentation
bin10101111000100111…
…10010101010100000
31010022211021012112220
422330103302222200
5143030301130311
65221510551040
7564104613303
oct127423625240
933284235486
1011749239456
114a8a159559
12233a968480
131153216bc6
147d65c4b3a
1548b73b206
hex2bc4f2aa0

11749239456 has 96 divisors (see below), whose sum is σ = 33257044800. Its totient is φ = 3619768320.

The previous prime is 11749239451. The next prime is 11749239473. The reversal of 11749239456 is 65493294711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11749239399 and 11749239408.

It is not an unprimeable number, because it can be changed into a prime (11749239451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3771 + ... + 153338.

It is an arithmetic number, because the mean of its divisors is an integer number (346427550).

Almost surely, 211749239456 is an apocalyptic number.

11749239456 is a gapful number since it is divisible by the number (16) 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 11749239456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628522400).

11749239456 is an abundant number, since it is smaller than the sum of its proper divisors (21507805344).

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

11749239456 is a wasteful number, since it uses less digits than its factorization.

11749239456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157182 (or 157174 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 11749239456 in words is "eleven billion, seven hundred forty-nine million, two hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1558 1824 1968 2337 3116 3936 4674 6232 9348 12464 18696 24928 37392 74784 157109 314218 471327 628436 942654 1256872 1885308 2513744 2985071 3770616 5027488 5970142 6441469 7541232 8955213 11940284 12882938 15082464 17910426 19324407 23880568 25765876 35820852 38648814 47761136 51531752 71641704 77297628 95522272 103063504 122387911 143283408 154595256 206127008 244775822 286566816 309190512 367163733 489551644 618381024 734327466 979103288 1468654932 1958206576 2937309864 3916413152 5874619728 11749239456