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5193999616 = 28133742181
BaseRepresentation
bin1001101011001011…
…00010010100000000
3111101222102112000011
410311211202110000
541114130441431
62215221234304
7242466161011
oct46545422400
914358375004
105193999616
112225971873
12100b562994
1364a0c4970
14373b61008
15205ec7cb1
hex135962500

5193999616 has 72 divisors (see below), whose sum is σ = 11467261064. Its totient is φ = 2332385280.

The previous prime is 5193999611. The next prime is 5193999623. The reversal of 5193999616 is 6169993915.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 5103673600 = 9504^2 + 71440^2 .

It is a super-2 number, since 2×51939996162 = 53955264022016294912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5193999611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102046 + ... + 144226.

Almost surely, 25193999616 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 5193999616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733630532).

5193999616 is an abundant number, since it is smaller than the sum of its proper divisors (6273261448).

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

5193999616 is a wasteful number, since it uses less digits than its factorization.

5193999616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42247 (or 42233 counting only the distinct ones).

The product of its digits is 3542940, while the sum is 58.

The square root of 5193999616 is about 72069.4083228106. The cubic root of 5193999616 is about 1731.8115737818.

The spelling of 5193999616 in words is "five billion, one hundred ninety-three million, nine hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 592 832 962 1184 1664 1924 2368 3328 3848 4736 7696 9472 15392 30784 42181 61568 84362 123136 168724 337448 548353 674896 1096706 1349792 1560697 2193412 2699584 3121394 4386824 5399168 6242788 8773648 10798336 12485576 17547296 20289061 24971152 35094592 40578122 49942304 70189184 81156244 99884608 140378368 162312488 199769216 324624976 399538432 649249952 1298499904 2596999808 5193999616