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21160006112 = 257472009879
BaseRepresentation
bin10011101101001111…
…000001000111100000
32000121200021200111002
4103231033001013200
5321313430143422
613415404211132
71346236040630
oct235517010740
960550250432
1021160006112
118a792a9863
124126539aa8
131cc2b0829b
14104a3a46c0
1583ca06692
hex4ed3c11e0

21160006112 has 48 divisors (see below), whose sum is σ = 48623016960. Its totient is φ = 8875621248.

The previous prime is 21160006061. The next prime is 21160006117.

21160006112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21160006117) 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, 994412 + ... + 1015467.

It is an arithmetic number, because the mean of its divisors is an integer number (1012979520).

Almost surely, 221160006112 is an apocalyptic number.

It is an amenable number.

21160006112 is an abundant number, since it is smaller than the sum of its proper divisors (27463010848).

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

21160006112 is a wasteful number, since it uses less digits than its factorization.

21160006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009943 (or 2009935 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 21160006112 in words is "twenty-one billion, one hundred sixty million, six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 10528 2009879 4019758 8039516 14069153 16079032 28138306 32158064 56276612 64316128 94464313 112553224 188928626 225106448 377857252 450212896 661250191 755714504 1322500382 1511429008 2645000764 3022858016 5290001528 10580003056 21160006112