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5281288064 = 271341199389
BaseRepresentation
bin1001110101100101…
…00000111110000000
3111122001200020020122
410322302200332000
541304002204224
62232020155412
7244606131203
oct47262407600
914561606218
105281288064
112270170988
121034838b68
13662207630
143815a393a
1520d9bb15e
hex13aca0f80

5281288064 has 128 divisors (see below), whose sum is σ = 11695320000. Its totient is φ = 2360033280.

The previous prime is 5281288021. The next prime is 5281288087. The reversal of 5281288064 is 4608821825.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×52812880642 = 55784007229897736192, 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, 13576382 + ... + 13576770.

Almost surely, 25281288064 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 5281288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847660000).

5281288064 is an abundant number, since it is smaller than the sum of its proper divisors (6414031936).

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

5281288064 is a wasteful number, since it uses less digits than its factorization.

5281288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 5281288064 is about 72672.4711565528. The cubic root of 5281288064 is about 1741.4591257391.

The spelling of 5281288064 in words is "five billion, two hundred eighty-one million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 199 208 328 389 398 416 533 656 778 796 832 1066 1312 1556 1592 1664 2132 2587 2624 3112 3184 4264 5057 5174 5248 6224 6368 8159 8528 10114 10348 12448 12736 15949 16318 17056 20228 20696 24896 25472 31898 32636 34112 40456 41392 49792 63796 65272 68224 77411 80912 82784 106067 127592 130544 154822 161824 165568 207337 212134 255184 261088 309644 323648 331136 414674 424268 510368 522176 619288 647296 829348 848536 1006343 1020736 1044352 1238576 1658696 1697072 2012686 2041472 2477152 3173851 3317392 3394144 4025372 4954304 6347702 6634784 6788288 8050744 9908608 12695404 13269568 13576576 16101488 25390808 26539136 32202976 41260063 50781616 64405952 82520126 101563232 128811904 165040252 203126464 330080504 406252928 660161008 1320322016 2640644032 5281288064