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5662163412 = 223617114221
BaseRepresentation
bin1010100010111110…
…11100000111010100
3112121121100201000000
411101133130013110
543044003212122
62333503451300
7260212411023
oct52137340724
915547321000
105662163412
1124461641a4
1211202b6b30
136c30b1069
143b9dca8ba
152321530ac
hex1517dc1d4

5662163412 has 84 divisors (see below), whose sum is σ = 15730425396. Its totient is φ = 1776349440.

The previous prime is 5662163399. The next prime is 5662163413. The reversal of 5662163412 is 2143612665.

5662163412 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 1 + 634 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3730033476 + 1932129936 = 61074^2 + 43956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662163413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7539 + ... + 106682.

It is an arithmetic number, because the mean of its divisors is an integer number (187266969).

Almost surely, 25662163412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5662163412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865212698).

5662163412 is an abundant number, since it is smaller than the sum of its proper divisors (10068261984).

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

5662163412 is a wasteful number, since it uses less digits than its factorization.

5662163412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114260 (or 114243 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5662163412 is about 75247.3482057674. The cubic root of 5662163412 is about 1782.3546891164.

The spelling of 5662163412 in words is "five billion, six hundred sixty-two million, one hundred sixty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2754 2916 4131 5508 8262 12393 16524 24786 49572 114221 228442 342663 456884 685326 1027989 1370652 1941757 2055978 3083967 3883514 4111956 5825271 6167934 7767028 9251901 11650542 12335868 17475813 18503802 23301084 27755703 34951626 37007604 52427439 55511406 69903252 83267109 104854878 111022812 157282317 166534218 209709756 314564634 333068436 471846951 629129268 943693902 1415540853 1887387804 2831081706 5662163412