Search a number
-
+
5367567072 = 253752115331
BaseRepresentation
bin1001111111110111…
…01001001011100000
3111212002000122210110
410333323221023200
541443044121242
62244341331320
7250004365410
oct47773511340
914762018713
105367567072
11230494064a
121059706b40
136770559ba
1438cc22640
1521636039c
hex13fee92e0

5367567072 has 96 divisors (see below), whose sum is σ = 16134660864. Its totient is φ = 1530547200.

The previous prime is 5367567061. The next prime is 5367567133. The reversal of 5367567072 is 2707657635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342447 + ... + 357777.

It is an arithmetic number, because the mean of its divisors is an integer number (168069384).

Almost surely, 25367567072 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 5367567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067330432).

5367567072 is an abundant number, since it is smaller than the sum of its proper divisors (10767093792).

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

5367567072 is a wasteful number, since it uses less digits than its factorization.

5367567072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15864 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 48.

The square root of 5367567072 is about 73263.6818075641. The cubic root of 5367567072 is about 1750.8912001681.

The spelling of 5367567072 in words is "five billion, three hundred sixty-seven million, five hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 521 672 1042 1563 2084 3126 3647 4168 6252 7294 8336 10941 12504 14588 15331 16672 21882 25008 29176 30662 43764 45993 50016 58352 61324 87528 91986 107317 116704 122648 175056 183972 214634 245296 321951 350112 367944 429268 490592 643902 735888 858536 1287804 1471776 1717072 2575608 3434144 5151216 7987451 10302432 15974902 23962353 31949804 47924706 55912157 63899608 95849412 111824314 127799216 167736471 191698824 223648628 255598432 335472942 383397648 447297256 670945884 766795296 894594512 1341891768 1789189024 2683783536 5367567072