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5664665280 = 263550311731
BaseRepresentation
bin1010100011010001…
…11110111011000000
3112121210001210220210
411101220332323000
543100123242110
62334033234120
7260242601061
oct52150767300
915553053823
105664665280
11244761295a
121121102940
136c3778a61
143ba47c568
15232499520
hex151a3eec0

5664665280 has 112 divisors (see below), whose sum is σ = 18022604544. Its totient is φ = 1507445760.

The previous prime is 5664665273. The next prime is 5664665287. The reversal of 5664665280 is 825664665.

It is an interprime number because it is at equal distance from previous prime (5664665273) and next prime (5664665287).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5664665287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477015 + ... + 488745.

It is an arithmetic number, because the mean of its divisors is an integer number (160916112).

Almost surely, 25664665280 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 5664665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011302272).

5664665280 is an abundant number, since it is smaller than the sum of its proper divisors (12357939264).

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

5664665280 is a wasteful number, since it uses less digits than its factorization.

5664665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 5664665280 is about 75263.9706632596. The cubic root of 5664665280 is about 1782.6171659131.

The spelling of 5664665280 in words is "five billion, six hundred sixty-four million, six hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 503 960 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 11731 12072 15090 16096 20120 23462 24144 30180 32192 35193 40240 46924 48288 58655 60360 70386 80480 93848 96576 117310 120720 140772 160960 175965 187696 234620 241440 281544 351930 375392 469240 482880 563088 703860 750784 938480 1126176 1407720 1876960 2252352 2815440 3753920 5630880 5900693 11261760 11801386 17702079 23602772 29503465 35404158 47205544 59006930 70808316 88510395 94411088 118013860 141616632 177020790 188822176 236027720 283233264 354041580 377644352 472055440 566466528 708083160 944110880 1132933056 1416166320 1888221760 2832332640 5664665280