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2285485424640 = 2183451119103
BaseRepresentation
bin100001010000100001100…
…011000000000000000000
322002111020102001001110000
4201100201203000000000
5244421133232042030
64505534300240000
7324056313401235
oct41204143000000
98074212031400
102285485424640
118012a5a37860
1230ab38540000
1313769c297a42
147c89204b78c
153e6b62b1860
hex214218c0000

2285485424640 has 1520 divisors, whose sum is σ = 9500583755520. Its totient is φ = 519800094720.

The previous prime is 2285485424623. The next prime is 2285485424653. The reversal of 2285485424640 is 464245845822.

2285485424640 is a `hidden beast` number, since 2 + 2 + 8 + 54 + 8 + 542 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1520).

It is a super-2 number, since 2×22854854246402 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22189178829 + ... + 22189178931.

Almost surely, 22285485424640 is an apocalyptic number.

2285485424640 is a gapful number since it is divisible by the number (20) 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 2285485424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750291877760).

2285485424640 is an abundant number, since it is smaller than the sum of its proper divisors (7215098330880).

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

2285485424640 is an equidigital number, since it uses as much as digits as its factorization.

2285485424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 54.

The spelling of 2285485424640 in words is "two trillion, two hundred eighty-five billion, four hundred eighty-five million, four hundred twenty-four thousand, six hundred forty".