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11847413016 = 23321756917011
BaseRepresentation
bin10110000100010100…
…10010110100011000
31010120122222221100200
423002022102310120
5143230414204031
65235335102200
7566406230505
oct130212226430
933518887320
1011847413016
11502a61282a
122367811960
13116a66b27a
1480565c4ac
1549517e8e6
hex2c2292d18

11847413016 has 96 divisors (see below), whose sum is σ = 34035908400. Its totient is φ = 3710085120.

The previous prime is 11847412991. The next prime is 11847413027. The reversal of 11847413016 is 61031474811.

It is a super-2 number, since 2×118474130162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687951 + ... + 704961.

Almost surely, 211847413016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11847413016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017954200).

11847413016 is an abundant number, since it is smaller than the sum of its proper divisors (22188495384).

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

11847413016 is a wasteful number, since it uses less digits than its factorization.

11847413016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11847413016 its reverse (61031474811), we get a palindrome (72878887827).

The spelling of 11847413016 in words is "eleven billion, eight hundred forty-seven million, four hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 569 612 1138 1224 1707 2276 3414 4552 5121 6828 9673 10242 13656 17011 19346 20484 29019 34022 38692 40968 51033 58038 68044 77384 87057 102066 116076 136088 153099 174114 204132 232152 289187 306198 348228 408264 578374 612396 696456 867561 1156748 1224792 1735122 2313496 2602683 3470244 5205366 6940488 9679259 10410732 19358518 20821464 29037777 38717036 58075554 77434072 87113331 116151108 164547403 174226662 232302216 329094806 348453324 493642209 658189612 696906648 987284418 1316379224 1480926627 1974568836 2961853254 3949137672 5923706508 11847413016