Search a number
-
+
5319336864 = 253199383727
BaseRepresentation
bin1001111010000111…
…01010001110100000
3111201201021022101110
410331003222032200
541343222234424
62235455503320
7245550421512
oct47503521640
914651238343
105319336864
11228a699576
121045527b40
1366a06a00a
14386669bb2
15211ed4c29
hex13d0ea3a0

5319336864 has 96 divisors (see below), whose sum is σ = 14089420800. Its totient is φ = 1757175552.

The previous prime is 5319336863. The next prime is 5319336871. The reversal of 5319336864 is 4686339135.

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 not an unprimeable number, because it can be changed into a prime (5319336863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7316469 + ... + 7317195.

It is an arithmetic number, because the mean of its divisors is an integer number (146764800).

Almost surely, 25319336864 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 5319336864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044710400).

5319336864 is an abundant number, since it is smaller than the sum of its proper divisors (8770083936).

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

5319336864 is a wasteful number, since it uses less digits than its factorization.

5319336864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 5319336864 is about 72933.7841058587. The cubic root of 5319336864 is about 1745.6312102513.

The spelling of 5319336864 in words is "five billion, three hundred nineteen million, three hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 383 398 597 727 766 796 1149 1194 1454 1532 1592 2181 2298 2388 2908 3064 3184 4362 4596 4776 5816 6128 6368 8724 9192 9552 11632 12256 17448 18384 19104 23264 34896 36768 69792 76217 144673 152434 228651 278441 289346 304868 434019 457302 556882 578692 609736 835323 868038 914604 1113764 1157384 1219472 1670646 1736076 1829208 2227528 2314768 2438944 3341292 3472152 3658416 4455056 4629536 6682584 6944304 7316832 8910112 13365168 13888608 26730336 55409759 110819518 166229277 221639036 332458554 443278072 664917108 886556144 1329834216 1773112288 2659668432 5319336864