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5000511616 = 271011812137
BaseRepresentation
bin1001010100000110…
…11100000010000000
3110220111100022100221
410222003130002000
540220112332431
62144110152424
7234626435032
oct45203340200
913814308327
105000511616
112136727431
12b767b2714
13618caa719
14356195c52
151e4008111
hex12a0dc080

5000511616 has 64 divisors (see below), whose sum is σ = 10120907160. Its totient is φ = 2460672000.

The previous prime is 5000511613. The next prime is 5000511629. The reversal of 5000511616 is 6161150005.

It can be written as a sum of positive squares in 4 ways, for example, as 2800526400 + 2199985216 = 52920^2 + 46904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5000511613) 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, 2338900 + ... + 2341036.

Almost surely, 25000511616 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 5000511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060453580).

5000511616 is an abundant number, since it is smaller than the sum of its proper divisors (5120395544).

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

5000511616 is a wasteful number, since it uses less digits than its factorization.

5000511616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 5000511616 is about 70714.2956975462. The cubic root of 5000511616 is about 1710.0342680911.

The spelling of 5000511616 in words is "five billion, five hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 101 128 181 202 362 404 724 808 1448 1616 2137 2896 3232 4274 5792 6464 8548 11584 12928 17096 18281 23168 34192 36562 68384 73124 136768 146248 215837 273536 292496 386797 431674 584992 773594 863348 1169984 1547188 1726696 2339968 3094376 3453392 6188752 6906784 12377504 13813568 24755008 27627136 39066497 49510016 78132994 156265988 312531976 625063952 1250127904 2500255808 5000511616