Search a number
-
+
5359097184 = 253713957373
BaseRepresentation
bin1001111110110110…
…10101010101100000
3111211111002100021220
410333123111111200
541433412102214
62243440015040
7246542401020
oct47733252540
914744070256
105359097184
112300086041
121056901480
1367537b72c
1438ba59a80
1521573a9a9
hex13f6d5560

5359097184 has 96 divisors (see below), whose sum is σ = 16193237760. Its totient is φ = 1520128512.

The previous prime is 5359097179. The next prime is 5359097201. The reversal of 5359097184 is 4817909535.

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

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, 64722 + ... + 122094.

It is an arithmetic number, because the mean of its divisors is an integer number (168679560).

Almost surely, 25359097184 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 5359097184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096618880).

5359097184 is an abundant number, since it is smaller than the sum of its proper divisors (10834140576).

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

5359097184 is a wasteful number, since it uses less digits than its factorization.

5359097184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57532 (or 57524 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 5359097184 is about 73205.8548478194. The cubic root of 5359097184 is about 1749.9697610013.

The spelling of 5359097184 in words is "five billion, three hundred fifty-nine million, ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 11676 13344 15568 23352 31136 46704 57373 93408 114746 172119 229492 344238 401611 458984 688476 803222 917968 1204833 1376952 1606444 1835936 2409666 2753904 3212888 4819332 5507808 6425776 7974847 9638664 12851552 15949694 19277328 23924541 31899388 38554656 47849082 55823929 63798776 95698164 111647858 127597552 167471787 191396328 223295716 255195104 334943574 382792656 446591432 669887148 765585312 893182864 1339774296 1786365728 2679548592 5359097184