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5801971616 = 257217217661
BaseRepresentation
bin1010110011101001…
…10000111110100000
3112222100102200210122
411121310300332200
543340301042431
62355420215412
7263530642100
oct53164607640
915870380718
105801971616
112508075171
12115b09a568
13716051ccc
143d07c1200
1523e56ca7b
hex159d30fa0

5801971616 has 72 divisors (see below), whose sum is σ = 14069236356. Its totient is φ = 2340280320.

The previous prime is 5801971601. The next prime is 5801971619. The reversal of 5801971616 is 6161791085.

It can be written as a sum of positive squares in 2 ways, for example, as 5685763216 + 116208400 = 75404^2 + 10780^2 .

It is not an unprimeable number, because it can be changed into a prime (5801971619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82175 + ... + 135486.

Almost surely, 25801971616 is an apocalyptic number.

5801971616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5801971616 is an abundant number, since it is smaller than the sum of its proper divisors (8267264740).

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

5801971616 is a wasteful number, since it uses less digits than its factorization.

5801971616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217702 (or 217687 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 44.

The square root of 5801971616 is about 76170.6742519718. The cubic root of 5801971616 is about 1796.9053426290.

The spelling of 5801971616 in words is "five billion, eight hundred one million, nine hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 217661 435322 870644 1523627 1741288 3047254 3482576 3700237 6094508 6965152 7400474 10665389 12189016 14800948 21330778 24378032 25901659 29601896 42661556 48756064 51803318 59203792 85323112 103606636 118407584 170646224 181311613 207213272 341292448 362623226 414426544 725246452 828853088 1450492904 2900985808 5801971616