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22136422154496 = 28313233114092207
BaseRepresentation
bin1010000100010000010011…
…00101000100000100000000
32220101012222022122212000120
411002020021211010010000
510400140343032420441
6115025155411220240
74443206114505546
oct502101145040400
986335868585016
1022136422154496
117065005235751
12259622aba7680
13c475c00b5c40
145675a10b5d96
15285c448ec966
hex142209944100

22136422154496 has 576 divisors, whose sum is σ = 68420828528640. Its totient is φ = 6297574440960.

The previous prime is 22136422154477. The next prime is 22136422154531. The reversal of 22136422154496 is 69445122463122.

It is a super-2 number, since 2×221364221544962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10030095025 + ... + 10030097231.

It is an arithmetic number, because the mean of its divisors is an integer number (118786160640).

Almost surely, 222136422154496 is an apocalyptic number.

22136422154496 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 22136422154496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34210414264320).

22136422154496 is an abundant number, since it is smaller than the sum of its proper divisors (46284406374144).

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

22136422154496 is a wasteful number, since it uses less digits than its factorization.

22136422154496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3688 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 22136422154496 in words is "twenty-two trillion, one hundred thirty-six billion, four hundred twenty-two million, one hundred fifty-four thousand, four hundred ninety-six".