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5100564288 = 263196122921
BaseRepresentation
bin1001100000000010…
…00110111101000000
3111011110121111211110
410300001012331000
540421221024123
62202042443320
7240253036551
oct46001067500
914143544743
105100564288
112188154496
12ba4203540
1363393c1a1
1436559c328
151ecbbd493
hex130046f40

5100564288 has 112 divisors (see below), whose sum is σ = 14439026240. Its totient is φ = 1584230400.

The previous prime is 5100564263. The next prime is 5100564311. The reversal of 5100564288 is 8824650015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211068 + ... + 233988.

Almost surely, 25100564288 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 5100564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219513120).

5100564288 is an abundant number, since it is smaller than the sum of its proper divisors (9338461952).

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

5100564288 is a wasteful number, since it uses less digits than its factorization.

5100564288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23016 (or 23006 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 5100564288 is about 71418.2349823909. The cubic root of 5100564288 is about 1721.3641026520.

The spelling of 5100564288 in words is "five billion, one hundred million, five hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 152 183 192 228 244 304 366 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2928 3477 3648 3904 4636 5856 6954 9272 11712 13908 18544 22921 27816 37088 45842 55632 68763 74176 91684 111264 137526 183368 222528 275052 366736 435499 550104 733472 870998 1100208 1306497 1398181 1466944 1741996 2200416 2612994 2796362 3483992 4194543 4400832 5225988 5592724 6967984 8389086 10451976 11185448 13935968 16778172 20903952 22370896 26565439 27871936 33556344 41807904 44741792 53130878 67112688 79696317 83615808 89483584 106261756 134225376 159392634 212523512 268450752 318785268 425047024 637570536 850094048 1275141072 1700188096 2550282144 5100564288