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21081188744 = 23711281121789
BaseRepresentation
bin10011101000100010…
…010110100110001000
32000102011222100101022
4103220202112212020
5321133241014434
613403511012012
71344261101450
oct235042264610
960364870338
1021081188744
118a38866140
12410406a008
131cac6a02a5
14103db28d60
15835b3822e
hex4e8896988

21081188744 has 64 divisors (see below), whose sum is σ = 49456483200. Its totient is φ = 8184153600.

The previous prime is 21081188719. The next prime is 21081188761. The reversal of 21081188744 is 44788118012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 21081188695 and 21081188704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112202 + ... + 233990.

It is an arithmetic number, because the mean of its divisors is an integer number (772757550).

Almost surely, 221081188744 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 21081188744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24728241600).

21081188744 is an abundant number, since it is smaller than the sum of its proper divisors (28375294456).

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

21081188744 is a wasteful number, since it uses less digits than its factorization.

21081188744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122094 (or 122090 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The spelling of 21081188744 in words is "twenty-one billion, eighty-one million, one hundred eighty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 281 308 562 616 1124 1967 2248 3091 3934 6182 7868 12364 15736 21637 24728 43274 86548 121789 173096 243578 487156 852523 974312 1339679 1705046 2679358 3410092 5358716 6820184 9377753 10717432 18755506 34222709 37511012 68445418 75022024 136890836 239558963 273781672 376449799 479117926 752899598 958235852 1505799196 1916471704 2635148593 3011598392 5270297186 10540594372 21081188744