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5564161440 = 253253979733
BaseRepresentation
bin1010010111010011…
…00101110110100000
3112100202221200120100
411023221211312200
542343411131230
62320043142400
7254612410005
oct51351456640
915322850510
105564161440
1123a5907932
1210b3514a00
136a89b9b26
143aad998ac
15228745660
hex14ba65da0

5564161440 has 144 divisors (see below), whose sum is σ = 19037484648. Its totient is φ = 1479886848.

The previous prime is 5564161423. The next prime is 5564161451. The reversal of 5564161440 is 441614655.

5564161440 is a `hidden beast` number, since 5 + 5 + 641 + 6 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5409308304 + 154853136 = 73548^2 + 12444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5564161395 and 5564161404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566814 + ... + 576546.

Almost surely, 25564161440 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 5564161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518742324).

5564161440 is an abundant number, since it is smaller than the sum of its proper divisors (13473323208).

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

5564161440 is a wasteful number, since it uses less digits than its factorization.

5564161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5564161440 is about 74593.3069383574. The cubic root of 5564161440 is about 1772.0116551844.

The spelling of 5564161440 in words is "five billion, five hundred sixty-four million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 397 480 720 794 1191 1440 1588 1985 2382 3176 3573 3970 4764 5955 6352 7146 7940 9528 9733 11910 12704 14292 15880 17865 19056 19466 23820 28584 29199 31760 35730 38112 38932 47640 48665 57168 58398 63520 71460 77864 87597 95280 97330 114336 116796 142920 145995 155728 175194 190560 194660 233592 285840 291990 311456 350388 389320 437985 467184 571680 583980 700776 778640 875970 934368 1167960 1401552 1557280 1751940 2335920 2803104 3503880 3864001 4671840 7007760 7728002 11592003 14015520 15456004 19320005 23184006 30912008 34776009 38640010 46368012 57960015 61824016 69552018 77280020 92736024 115920030 123648032 139104036 154560040 173880045 185472048 231840060 278208072 309120080 347760090 370944096 463680120 556416144 618240160 695520180 927360240 1112832288 1391040360 1854720480 2782080720 5564161440