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42892463853 = 32179715531861
BaseRepresentation
bin100111111100100101…
…110000111011101101
311002201020201220222100
4213330211300323231
51200320432320403
631412102205313
73045625633011
oct477445607355
9132636656870
1042892463853
111721074aa38
128390723839
1340773b5035
14210c7c0541
1511b08d82a3
hex9fc970eed

42892463853 has 48 divisors (see below), whose sum is σ = 66354842736. Its totient is φ = 26604011520.

The previous prime is 42892463851. The next prime is 42892463857. The reversal of 42892463853 is 35836429824.

42892463853 is a `hidden beast` number, since 42 + 8 + 92 + 463 + 8 + 53 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9308969289 + 33583494564 = 96483^2 + 183258^2 .

It is not a de Polignac number, because 42892463853 - 21 = 42892463851 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42892463853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42892463851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23047143 + ... + 23049003.

It is an arithmetic number, because the mean of its divisors is an integer number (1382392557).

Almost surely, 242892463853 is an apocalyptic number.

It is an amenable number.

42892463853 is a deficient number, since it is larger than the sum of its proper divisors (23462378883).

42892463853 is a wasteful number, since it uses less digits than its factorization.

42892463853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3531 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 42892463853 in words is "forty-two billion, eight hundred ninety-two million, four hundred sixty-three thousand, eight hundred fifty-three".

Divisors: 1 3 9 17 51 97 153 291 873 1553 1649 1861 4659 4947 5583 13977 14841 16749 26401 31637 79203 94911 150641 180517 237609 284733 451923 541551 1355769 1624653 2560897 2890133 3068789 7682691 8670399 9206367 23048073 26011197 27619101 49132261 147396783 280342901 442190349 841028703 2523086109 4765829317 14297487951 42892463853