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53345621142 = 23311213162323
BaseRepresentation
bin110001101011101001…
…011001010010010110
312002200202012100001000
4301223221121102112
51333222434334032
640301233444130
73565645204152
oct615351312226
9162622170030
1053345621142
1120695237800
12a409410646
135051c362c8
142820bc4062
1515c3459e7c
hexc6ba59496

53345621142 has 96 divisors (see below), whose sum is σ = 131299217280. Its totient is φ = 16041682800.

The previous prime is 53345621099. The next prime is 53345621143. The reversal of 53345621142 is 24112654335.

53345621142 is a `hidden beast` number, since 53 + 3 + 4 + 562 + 1 + 1 + 42 = 666.

53345621142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53345621097 and 53345621106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53345621143) 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, 824793 + ... + 887115.

It is an arithmetic number, because the mean of its divisors is an integer number (1367700180).

Almost surely, 253345621142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53345621142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65649608640).

53345621142 is an abundant number, since it is smaller than the sum of its proper divisors (77953596138).

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

53345621142 is a wasteful number, since it uses less digits than its factorization.

53345621142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62487 (or 62470 counting only the distinct ones).

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

The spelling of 53345621142 in words is "fifty-three billion, three hundred forty-five million, six hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 131 198 242 262 297 363 393 594 726 786 1089 1179 1441 2178 2358 2882 3267 3537 4323 6534 7074 8646 12969 15851 25938 31702 38907 47553 62323 77814 95106 124646 142659 186969 285318 373938 427977 560907 685553 855954 1121814 1371106 1682721 2056659 3365442 4113318 6169977 7541083 8164313 12339954 15082166 16328626 18509931 22623249 24492939 37019862 45246498 48985878 67869747 73478817 89807443 135739494 146957634 179614886 203609241 220436451 269422329 407218482 440872902 538844658 808266987 987881873 1616533974 1975763746 2424800961 2963645619 4849601922 5927291238 8890936857 17781873714 26672810571 53345621142