Search a number
-
+
5521440064 = 267173172287
BaseRepresentation
bin1010010010001101…
…00111110101000000
3112020210120012212011
411021012213311000
542301442040224
62311515342304
7253553315620
oct51106476500
915223505764
105521440064
112383788708
1210a1151994
1369cbac6ca
143a5438880
15224b07394
hex1491a7d40

5521440064 has 112 divisors (see below), whose sum is σ = 13306056192. Its totient is φ = 2219139072.

The previous prime is 5521440059. The next prime is 5521440073. The reversal of 5521440064 is 4600441255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2413129 + ... + 2415415.

Almost surely, 25521440064 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 5521440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653028096).

5521440064 is an abundant number, since it is smaller than the sum of its proper divisors (7784616128).

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

5521440064 is a wasteful number, since it uses less digits than its factorization.

5521440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 5521440064 is about 74306.3931569821. The cubic root of 5521440064 is about 1767.4648571817.

The spelling of 5521440064 in words is "five billion, five hundred twenty-one million, four hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 317 448 476 544 634 952 1088 1268 1904 2219 2287 2536 3808 4438 4574 5072 5389 7616 8876 9148 10144 10778 16009 17752 18296 20288 21556 32018 35504 36592 37723 38879 43112 64036 71008 73184 75446 77758 86224 128072 142016 146368 150892 155516 172448 256144 272153 301784 311032 344896 512288 544306 603568 622064 724979 1024576 1088612 1207136 1244128 1449958 2177224 2414272 2488256 2899916 4354448 5074853 5799832 8708896 10149706 11599664 12324643 17417792 20299412 23199328 24649286 40598824 46398656 49298572 81197648 86272501 98597144 162395296 172545002 197194288 324790592 345090004 394388576 690180008 788777152 1380360016 2760720032 5521440064