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5210647936 = 27135359083
BaseRepresentation
bin1001101101001010…
…00010110110000000
3111110010202100012121
410312211002312000
541132411213221
62221014134024
7243060530254
oct46645026600
914403670177
105210647936
112234302a0a
121015051314
136506a3640
14376056264
152076b5a41
hex136942d80

5210647936 has 64 divisors (see below), whose sum is σ = 11390213520. Its totient is φ = 2359498752.

The previous prime is 5210647933. The next prime is 5210647943. The reversal of 5210647936 is 6397460125.

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

It is a junction number, because it is equal to n+sod(n) for n = 5210647892 and 5210647901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210647933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58651 + ... + 117733.

Almost surely, 25210647936 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 5210647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695106760).

5210647936 is an abundant number, since it is smaller than the sum of its proper divisors (6179565584).

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

5210647936 is a wasteful number, since it uses less digits than its factorization.

5210647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59163 (or 59151 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 5210647936 is about 72184.8179051523. The cubic root of 5210647936 is about 1733.6599247852.

The spelling of 5210647936 in words is "five billion, two hundred ten million, six hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 5512 6784 11024 22048 44096 59083 88192 118166 236332 472664 768079 945328 1536158 1890656 3072316 3131399 3781312 6144632 6262798 7562624 12289264 12525596 24578528 25051192 40708187 49157056 50102384 81416374 98314112 100204768 162832748 200409536 325665496 400819072 651330992 1302661984 2605323968 5210647936