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22428596736 = 29357213283
BaseRepresentation
bin10100111000110110…
…010011101000000000
32010220002100202200000
4110320312103220000
5331413210043421
614145322400000
71422541632600
oct247066235000
963802322600
1022428596736
11956a3a3767
12441b360000
132165896920
14112aa6ac00
158b4090226
hex538d93a00

22428596736 has 720 divisors, whose sum is σ = 84391411104. Its totient is φ = 5894332416.

The previous prime is 22428596699. The next prime is 22428596753. The reversal of 22428596736 is 63769582422.

22428596736 is a `hidden beast` number, since 2 + 2 + 42 + 8 + 596 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×224285967362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252851 + ... + 79253133.

Almost surely, 222428596736 is an apocalyptic number.

22428596736 is a gapful number since it is divisible by the number (26) 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 22428596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42195705552).

22428596736 is an abundant number, since it is smaller than the sum of its proper divisors (61962814368).

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

22428596736 is an equidigital number, since it uses as much as digits as its factorization.

22428596736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 308 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 22428596736 in words is "twenty-two billion, four hundred twenty-eight million, five hundred ninety-six thousand, seven hundred thirty-six".