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52437086046 = 2331925350753
BaseRepresentation
bin110000110101011111…
…100110111101011110
312000100102121222012000
4300311133212331132
51324342343223141
640031140423130
73534303606612
oct606537467536
9160312558160
1052437086046
1120269405954
12a1b50a7aa6
134c38941a87
142776285342
15156d7e45b6
hexc357e6f5e

52437086046 has 96 divisors (see below), whose sum is σ = 125305535520. Its totient is φ = 16246324224.

The previous prime is 52437086029. The next prime is 52437086063. The reversal of 52437086046 is 64068073425.

52437086046 is a `hidden beast` number, since 5 + 2 + 4 + 37 + 0 + 8 + 604 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (52437086029) and next prime (52437086063).

It is a junction number, because it is equal to n+sod(n) for n = 52437085992 and 52437086010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007806 + ... + 1058558.

It is an arithmetic number, because the mean of its divisors is an integer number (1305265995).

Almost surely, 252437086046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52437086046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62652767760).

52437086046 is an abundant number, since it is smaller than the sum of its proper divisors (72868449474).

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

52437086046 is a wasteful number, since it uses less digits than its factorization.

52437086046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855 (or 50830 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 52437086046 in words is "fifty-two billion, four hundred thirty-seven million, eighty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 361 477 513 722 954 1007 1026 1083 1431 2014 2166 2862 3021 3249 6042 6498 9063 9747 18126 19133 19494 27189 38266 50753 54378 57399 101506 114798 152259 172197 304518 344394 456777 516591 913554 964307 1033182 1370331 1928614 2689909 2740662 2892921 5379818 5785842 8069727 8678763 16139454 17357526 18321833 24209181 26036289 36643666 48418362 51108271 52072578 54965499 72627543 102216542 109930998 145255086 153324813 164896497 306649626 329792994 459974439 494689491 919948878 971057149 989378982 1379923317 1942114298 2759846634 2913171447 5826342894 8739514341 17479028682 26218543023 52437086046