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5214252564 = 22321131281773
BaseRepresentation
bin1001101101100101…
…10010111000010100
3111110101112110211100
410312302302320110
541134322040224
62221223310100
7243133262343
oct46662627024
914411473740
105214252564
112236345144
1210162ab330
13651366261
14376713b5a
15207b78ac9
hex136cb2e14

5214252564 has 36 divisors (see below), whose sum is σ = 13297123476. Its totient is φ = 1722701568.

The previous prime is 5214252553. The next prime is 5214252647. The reversal of 5214252564 is 4652524125.

5214252564 is a `hidden beast` number, since 5 + 2 + 1 + 42 + 52 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1146364164 + 4067888400 = 33858^2 + 63780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 636819 + ... + 644954.

It is an arithmetic number, because the mean of its divisors is an integer number (369364541).

Almost surely, 25214252564 is an apocalyptic number.

It is an amenable number.

5214252564 is an abundant number, since it is smaller than the sum of its proper divisors (8082870912).

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

5214252564 is a wasteful number, since it uses less digits than its factorization.

5214252564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281896 (or 1281891 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 5214252564 is about 72209.7816365622. The cubic root of 5214252564 is about 1734.0596037190.

Adding to 5214252564 its reverse (4652524125), we get a palindrome (9866776689).

The spelling of 5214252564 in words is "five billion, two hundred fourteen million, two hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 1281773 2563546 3845319 5127092 7690638 11535957 15381276 23071914 46143828 144840349 289680698 434521047 579361396 869042094 1303563141 1738084188 2607126282 5214252564