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22497841320864 = 25371347307178481
BaseRepresentation
bin1010001110110001011111…
…10101110001001110100000
32221122202212020120210210020
411013120233311301032200
510422101034334231424
6115503210550233440
74511262323646210
oct507305765611640
987582766523706
1022497841320864
11719430a9a9778
122634295655880
13c726ca6a1330
1457ac8936c240
152903491dd079
hex14762fd713a0

22497841320864 has 384 divisors, whose sum is σ = 74474044710912. Its totient is φ = 5788303441920.

The previous prime is 22497841320833. The next prime is 22497841320869. The reversal of 22497841320864 is 46802314879422.

It is a super-2 number, since 2×224978413208642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22497841320798 and 22497841320807.

It is not an unprimeable number, because it can be changed into a prime (22497841320869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125962504 + ... + 126140984.

It is an arithmetic number, because the mean of its divisors is an integer number (193942824768).

Almost surely, 222497841320864 is an apocalyptic number.

22497841320864 is a gapful number since it is divisible by the number (24) 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 22497841320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237022355456).

22497841320864 is an abundant number, since it is smaller than the sum of its proper divisors (51976203390048).

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

22497841320864 is a wasteful number, since it uses less digits than its factorization.

22497841320864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178868 (or 178860 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 22497841320864 in words is "twenty-two trillion, four hundred ninety-seven billion, eight hundred forty-one million, three hundred twenty thousand, eight hundred sixty-four".