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5361060768 = 253713160899
BaseRepresentation
bin1001111111000101…
…10100101110100000
3111211121210002211020
410333202310232200
541434412421033
62243550045440
7246565156530
oct47742645640
914747702736
105361060768
1123011a7338
1210574a9880
136758b840b
1438c00b4c0
152159c76b3
hex13f8b4ba0

5361060768 has 96 divisors (see below), whose sum is σ = 16206220800. Its totient is φ = 1520014080.

The previous prime is 5361060751. The next prime is 5361060787. The reversal of 5361060768 is 8670601635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57583 + ... + 118481.

It is an arithmetic number, because the mean of its divisors is an integer number (168814800).

Almost surely, 25361060768 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 5361060768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103110400).

5361060768 is an abundant number, since it is smaller than the sum of its proper divisors (10845160032).

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

5361060768 is a wasteful number, since it uses less digits than its factorization.

5361060768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61050 (or 61042 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5361060768 is about 73219.2650058712. The cubic root of 5361060768 is about 1750.1834657176.

The spelling of 5361060768 in words is "five billion, three hundred sixty-one million, sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 11004 12576 14672 22008 29344 44016 60899 88032 121798 182697 243596 365394 426293 487192 730788 852586 974384 1278879 1461576 1705172 1948768 2557758 2923152 3410344 5115516 5846304 6820688 7977769 10231032 13641376 15955538 20462064 23933307 31911076 40924128 47866614 55844383 63822152 95733228 111688766 127644304 167533149 191466456 223377532 255288608 335066298 382932912 446755064 670132596 765865824 893510128 1340265192 1787020256 2680530384 5361060768