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5194289664 = 29328211373
BaseRepresentation
bin1001101011001101…
…01001001000000000
3111101222222020212200
410311212221020000
541114214232124
62215231353200
7242501506434
oct46546511000
914358866780
105194289664
11222604a783
12100b682800
1364a1969a5
14373bd89c4
15206033bc9
hex1359a9200

5194289664 has 120 divisors (see below), whose sum is σ = 15020262972. Its totient is φ = 1728061440.

The previous prime is 5194289623. The next prime is 5194289671. The reversal of 5194289664 is 4669824915.

5194289664 is a `hidden beast` number, since 519 + 42 + 89 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4944902400 + 249387264 = 70320^2 + 15792^2 .

It is a super-2 number, since 2×51942896642 = 53961290227074465792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5194289664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3782482 + ... + 3783854.

Almost surely, 25194289664 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 5194289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510131486).

5194289664 is an abundant number, since it is smaller than the sum of its proper divisors (9825973308).

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

5194289664 is a wasteful number, since it uses less digits than its factorization.

5194289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2199 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 5194289664 is about 72071.4205770914. The cubic root of 5194289664 is about 1731.8438096419.

The spelling of 5194289664 in words is "five billion, one hundred ninety-four million, two hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 821 1152 1373 1536 1642 2304 2463 2746 3284 4119 4608 4926 5492 6568 7389 8238 9852 10984 12357 13136 14778 16476 19704 21968 24714 26272 29556 32952 39408 43936 49428 52544 59112 65904 78816 87872 98856 105088 118224 131808 157632 175744 197712 210176 236448 263616 315264 351488 395424 420352 472896 527232 630528 702976 790848 945792 1054464 1127233 1261056 1581696 1891584 2108928 2254466 3163392 3381699 3783168 4508932 6326784 6763398 9017864 10145097 13526796 18035728 20290194 27053592 36071456 40580388 54107184 72142912 81160776 108214368 144285824 162321552 216428736 288571648 324643104 432857472 577143296 649286208 865714944 1298572416 1731429888 2597144832 5194289664