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5608821712 = 2413375931229
BaseRepresentation
bin1010011100100111…
…11101001111010000
3112110212222122221111
411032103331033100
542441324243322
62324320303104
7255664124614
oct51623751720
915425878844
105608821712
11241904084a
121106471a94
136b5025920
143b2ca3344
1522c618177
hex14e4fd3d0

5608821712 has 80 divisors (see below), whose sum is σ = 12049385040. Its totient is φ = 2512429056.

The previous prime is 5608821709. The next prime is 5608821733. The reversal of 5608821712 is 2171288065.

It can be written as a sum of positive squares in 8 ways, for example, as 957036096 + 4651785616 = 30936^2 + 68204^2 .

It is a super-2 number, since 2×56088217122 = 62917761994005221888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4563114 + ... + 4564342.

It is an arithmetic number, because the mean of its divisors is an integer number (150617313).

Almost surely, 25608821712 is an apocalyptic number.

5608821712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5608821712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024692520).

5608821712 is an abundant number, since it is smaller than the sum of its proper divisors (6440563328).

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

5608821712 is a wasteful number, since it uses less digits than its factorization.

5608821712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 5608821712 is about 74892.0670832365. The cubic root of 5608821712 is about 1776.7399944313.

The spelling of 5608821712 in words is "five billion, six hundred eight million, eight hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 593 962 1186 1229 1924 2372 2458 3848 4744 4916 7696 7709 9488 9832 15418 15977 19664 21941 30836 31954 43882 45473 61672 63908 87764 90946 123344 127816 175528 181892 255632 285233 351056 363784 570466 591149 727568 728797 1140932 1182298 1457594 2281864 2364596 2915188 4563728 4729192 5830376 9458384 9474361 11660752 18948722 26965489 37897444 53930978 75794888 107861956 151589776 215723912 350551357 431447824 701102714 1402205428 2804410856 5608821712