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22980909760000 = 29541014191697
BaseRepresentation
bin1010011100110101010001…
…11101100111111000000000
310000100221202010002002221221
411032122220331213320000
511003004400344310000
6120513141215324424
74561213236640423
oct516325075477000
9100327663062857
1022980909760000
1173601704a2965
1226b1a30220714
13ca9123a6bc2a
145963d3a099ba
1529cbbd66761a
hex14e6a8f67e00

22980909760000 has 400 divisors, whose sum is σ = 58118422214160. Its totient is φ = 9074278400000.

The previous prime is 22980909759971. The next prime is 22980909760001. The reversal of 22980909760000 is 6790908922.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 22980909760000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22980909760001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13542079152 + ... + 13542080848.

Almost surely, 222980909760000 is an apocalyptic number.

22980909760000 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 22980909760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29059211107080).

22980909760000 is an abundant number, since it is smaller than the sum of its proper divisors (35137512454160).

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

22980909760000 is an equidigital number, since it uses as much as digits as its factorization.

22980909760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 22980909760000 in words is "twenty-two trillion, nine hundred eighty billion, nine hundred nine million, seven hundred sixty thousand".