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10622327040 = 28355133771
BaseRepresentation
bin10011110010010001…
…11101100100000000
31000102021210010100000
421321020331210000
5133223303431130
64514013200000
7524142201333
oct117110754400
930367703300
1010622327040
114561032586
122085490000
131003902720
1472aa7c61a
1542283b260
hex27923d900

10622327040 has 864 divisors, whose sum is σ = 42748183296. Its totient is φ = 2508226560.

The previous prime is 10622327029. The next prime is 10622327057. The reversal of 10622327040 is 4072322601.

10622327040 is a `hidden beast` number, since 1 + 0 + 622 + 32 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106223270402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10622326995 and 10622327013.

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, 149610205 + ... + 149610275.

It is an arithmetic number, because the mean of its divisors is an integer number (49477064).

Almost surely, 210622327040 is an apocalyptic number.

10622327040 is a gapful number since it is divisible by the number (10) 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 10622327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374091648).

10622327040 is an abundant number, since it is smaller than the sum of its proper divisors (32125856256).

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

10622327040 is an equidigital number, since it uses as much as digits as its factorization.

10622327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10622327040 its reverse (4072322601), we get a palindrome (14694649641).

The spelling of 10622327040 in words is "ten billion, six hundred twenty-two million, three hundred twenty-seven thousand, forty".