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21198044736 = 2635111737197
BaseRepresentation
bin10011101111100000…
…000111111001000000
32000201022212020200000
4103233200013321000
5321403144412421
613423243400000
71350210256461
oct235740077100
960638766600
1021198044736
118a9881a840
124137223000
131cca96614b
141051466d68
1584101c226
hex4ef807e40

21198044736 has 672 divisors, whose sum is σ = 75129005952. Its totient is φ = 5852528640.

The previous prime is 21198044729. The next prime is 21198044759. The reversal of 21198044736 is 63744089112.

It is a super-5 number, since 5×211980447365 (a number of 53 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is a junction number, because it is equal to n+sod(n) for n = 21198044691 and 21198044700.

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, 107604190 + ... + 107604386.

It is an arithmetic number, because the mean of its divisors is an integer number (111799116).

Almost surely, 221198044736 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 21198044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37564502976).

21198044736 is an abundant number, since it is smaller than the sum of its proper divisors (53930961216).

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

21198044736 is a wasteful number, since it uses less digits than its factorization.

21198044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21198044736 in words is "twenty-one billion, one hundred ninety-eight million, forty-four thousand, seven hundred thirty-six".