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20122895776 = 2523374167269
BaseRepresentation
bin10010101111011010…
…110000010110100000
31220221101210000120011
4102233122300112200
5312202430131101
613124435254304
71311443535424
oct225732602640
956841700504
1020122895776
118596939485
123a9714a394
131b88ca6929
14d8c756b84
157cb944751
hex4af6b05a0

20122895776 has 192 divisors, whose sum is σ = 44305470720. Its totient is φ = 8965693440.

The previous prime is 20122895773. The next prime is 20122895789. The reversal of 20122895776 is 67759822102.

It is a super-3 number, since 3×201228957763 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20122895773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74806170 + ... + 74806438.

It is an arithmetic number, because the mean of its divisors is an integer number (230757660).

Almost surely, 220122895776 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 20122895776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152735360).

20122895776 is an abundant number, since it is smaller than the sum of its proper divisors (24182574944).

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

20122895776 is a wasteful number, since it uses less digits than its factorization.

20122895776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 20122895776 in words is "twenty billion, one hundred twenty-two million, eight hundred ninety-five thousand, seven hundred seventy-six".