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5856044688 = 243413226737
BaseRepresentation
bin1010111010000110…
…00010011010010000
3120010010011220010000
411131003002122100
543443121412223
62405031210000
7265055362404
oct53503023220
916103156100
105856044688
11253564805a
121175216900
13724305300
143d7a59104
1524419e543
hex15d0c2690

5856044688 has 150 divisors (see below), whose sum is σ = 18353845554. Its totient is φ = 1801792512.

The previous prime is 5856044683. The next prime is 5856044693. The reversal of 5856044688 is 8864406585.

It is an interprime number because it is at equal distance from previous prime (5856044683) and next prime (5856044693).

It can be written as a sum of positive squares in 3 ways, for example, as 47775744 + 5808268944 = 6912^2 + 76212^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5856044683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 205656 + ... + 232392.

Almost surely, 25856044688 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 5856044688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176922777).

5856044688 is an abundant number, since it is smaller than the sum of its proper divisors (12497800866).

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

5856044688 is a wasteful number, since it uses less digits than its factorization.

5856044688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26783 (or 26755 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 5856044688 is about 76524.7978631764. The cubic root of 5856044688 is about 1802.4703414563.

The spelling of 5856044688 in words is "five billion, eight hundred fifty-six million, forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2704 2808 3042 4056 4212 4563 5616 6084 8112 8424 9126 12168 13689 16848 18252 24336 26737 27378 36504 53474 54756 73008 80211 106948 109512 160422 213896 219024 240633 320844 347581 427792 481266 641688 695162 721899 962532 1042743 1283376 1390324 1443798 1925064 2085486 2165697 2780648 2887596 3128229 3850128 4170972 4331394 4518553 5561296 5775192 6256458 8341944 8662788 9037106 9384687 11550384 12512916 13555659 16683888 17325576 18074212 18769374 25025832 27111318 28154061 34651152 36148424 37538748 40666977 50051664 54222636 56308122 72296848 75077496 81333954 108445272 112616244 122000931 150154992 162667908 216890544 225232488 244001862 325335816 366002793 450464976 488003724 650671632 732005586 976007448 1464011172 1952014896 2928022344 5856044688