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6455063142 = 23211376713151
BaseRepresentation
bin1100000001100000…
…00111001001100110
3121122212100011221200
412000300013021212
5101204444010032
62544310223330
7315651063033
oct60060071146
917585304850
106455063142
112812795530
121301954b46
137bb4491b8
1445342838a
1527ba7647c
hex180c07266

6455063142 has 96 divisors (see below), whose sum is σ = 15904871424. Its totient is φ = 1874664000.

The previous prime is 6455063101. The next prime is 6455063159. The reversal of 6455063142 is 2413605546.

6455063142 is a `hidden beast` number, since 6 + 4 + 5 + 506 + 3 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6455063097 and 6455063106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484267 + ... + 497417.

It is an arithmetic number, because the mean of its divisors is an integer number (165675744).

Almost surely, 26455063142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6455063142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952435712).

6455063142 is an abundant number, since it is smaller than the sum of its proper divisors (9449808282).

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

6455063142 is a wasteful number, since it uses less digits than its factorization.

6455063142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6455063142 is about 80343.4075827009. The cubic root of 6455063142 is about 1861.9449287884.

Adding to 6455063142 its reverse (2413605546), we get a palindrome (8868668688).

The spelling of 6455063142 in words is "six billion, four hundred fifty-five million, sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 67 74 99 111 134 198 201 222 333 402 407 603 666 737 814 1206 1221 1474 2211 2442 2479 3663 4422 4958 6633 7326 7437 13151 13266 14874 22311 26302 27269 39453 44622 54538 78906 81807 118359 144661 163614 236718 245421 289322 433983 486587 490842 867966 881117 973174 1301949 1459761 1762234 2603898 2643351 2919522 4379283 5286702 5352457 7930053 8758566 9692287 10704914 15860106 16057371 19384574 29076861 32114742 32601329 48172113 58153722 65202658 87230583 96344226 97803987 174461166 195607974 293411961 358614619 586823922 717229238 1075843857 2151687714 3227531571 6455063142