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22109114734080 = 29351121011032287
BaseRepresentation
bin1010000011011101011011…
…11011100001011000000000
32220021121111012221011110020
411001232231323201120000
510344213431332442310
6115004442002333440
74441221321326133
oct501565573413000
986247435834406
1022109114734080
11705447197a600
122590a8995a280
13c44b5a809bca
145661304cc21a
15285197390170
hex141badee1600

22109114734080 has 960 divisors, whose sum is σ = 79255251339264. Its totient is φ = 5252898816000.

The previous prime is 22109114734073. The next prime is 22109114734151. The reversal of 22109114734080 is 8043741190122.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×221091147340802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9667298697 + ... + 9667300983.

Almost surely, 222109114734080 is an apocalyptic number.

22109114734080 is a gapful number since it is divisible by the number (20) 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 22109114734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39627625669632).

22109114734080 is an abundant number, since it is smaller than the sum of its proper divisors (57146136605184).

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

22109114734080 is a wasteful number, since it uses less digits than its factorization.

22109114734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 22109114734080 in words is "twenty-two trillion, one hundred nine billion, one hundred fourteen million, seven hundred thirty-four thousand, eighty".