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5207556096 = 21636109
BaseRepresentation
bin1001101100110010…
…10000000000000000
3111102220221021000000
410312121100000000
541131113243341
62220424000000
7243022332201
oct46631200000
914386837000
105207556096
112232590a76
121014000000
1364cb60252
1437588d5a8
152072a48b6
hex136650000

5207556096 has 238 divisors, whose sum is σ = 15758666330. Its totient is φ = 1719926784.

The previous prime is 5207556089. The next prime is 5207556103. The reversal of 5207556096 is 6906557025.

5207556096 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 556 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (5207556089) and next prime (5207556103).

It can be written as a sum of positive squares in only one way, i.e., 4777574400 + 429981696 = 69120^2 + 20736^2 .

It is a super-2 number, since 2×52075560962 = 54237280985973522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775690 + ... + 47775798.

Almost surely, 25207556096 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 5207556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879333165).

5207556096 is an abundant number, since it is smaller than the sum of its proper divisors (10551110234).

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

5207556096 is an frugal number, since it uses more digits than its factorization.

5207556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5207556096 is about 72163.3985895897. The cubic root of 5207556096 is about 1733.3169565843.

It can be divided in two parts, 520755 and 6096, that added together give a triangular number (526851 = T1026).

The spelling of 5207556096 in words is "five billion, two hundred seven million, five hundred fifty-six thousand, ninety-six".