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5299061760 = 210325114997
BaseRepresentation
bin1001110111101100…
…10100010000000000
3111200022010020011200
410323312110100000
541323024434020
62233453141200
7245213165436
oct47366242000
914608106150
105299061760
11227a200593
12103a78a800
13665abb605
14383aacd56
1521032c590
hex13bd94400

5299061760 has 132 divisors (see below), whose sum is σ = 18361270668. Its totient is φ = 1413070848.

The previous prime is 5299061737. The next prime is 5299061767. The reversal of 5299061760 is 671609925.

It is a happy number.

5299061760 is a `hidden beast` number, since 5 + 29 + 9 + 0 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1617970176 + 3681091584 = 40224^2 + 60672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5299061767) 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 11 ways as a sum of consecutive naturals, for example, 11419 + ... + 103578.

Almost surely, 25299061760 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 5299061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180635334).

5299061760 is an abundant number, since it is smaller than the sum of its proper divisors (13062208908).

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

5299061760 is a wasteful number, since it uses less digits than its factorization.

5299061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115028 (or 115007 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 5299061760 is about 72794.6547488207. The cubic root of 5299061760 is about 1743.4105125512.

The spelling of 5299061760 in words is "five billion, two hundred ninety-nine million, sixty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 114997 229994 344991 459988 574985 689982 919976 1034973 1149970 1379964 1724955 1839952 2069946 2299940 2759928 3449910 3679904 4139892 4599880 5174865 5519856 6899820 7359808 8279784 9199760 10349730 11039712 13799640 14719616 16559568 18399520 20699460 22079424 27599280 29439232 33119136 36799040 41398920 44158848 55198560 58878464 66238272 73598080 82797840 88317696 110397120 117756928 132476544 147196160 165595680 176635392 220794240 264953088 294392320 331191360 353270784 441588480 529906176 588784640 662382720 883176960 1059812352 1324765440 1766353920 2649530880 5299061760