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21160563006 = 23112241120941
BaseRepresentation
bin10011101101010001…
…001001000100111110
32000121201022222101210
4103231101021010332
5321314101004011
613415424145250
71346243550342
oct235521110476
960551288353
1021160563006
118a7964a200
124126768226
131cc2c718cb
14104a4ab622
1583cab66a6
hex4ed44913e

21160563006 has 48 divisors (see below), whose sum is σ = 46711670544. Its totient is φ = 6385632000.

The previous prime is 21160562987. The next prime is 21160563019. The reversal of 21160563006 is 60036506112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114496 + ... + 235436.

It is an arithmetic number, because the mean of its divisors is an integer number (973159803).

Almost surely, 221160563006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21160563006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23355835272).

21160563006 is an abundant number, since it is smaller than the sum of its proper divisors (25551107538).

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

21160563006 is a wasteful number, since it uses less digits than its factorization.

21160563006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121209 (or 121198 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 21160563006 in words is "twenty-one billion, one hundred sixty million, five hundred sixty-three thousand, six".

Divisors: 1 2 3 6 11 22 33 66 121 241 242 363 482 723 726 1446 2651 5302 7953 15906 29161 58322 87483 120941 174966 241882 362823 725646 1330351 2660702 3991053 7982106 14633861 29146781 29267722 43901583 58293562 87440343 87803166 174880686 320614591 641229182 961843773 1923687546 3526760501 7053521002 10580281503 21160563006