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5206033040 = 2451315133151
BaseRepresentation
bin1001101100100110…
…11100001010010000
3111102211001212202112
410312103130022100
541130221024130
62220331204452
7243003356615
oct46623341220
914384055675
105206033040
11223174074a
1210135a6728
1364c748c30
143755b450c
152070a3495
hex1364dc290

5206033040 has 80 divisors (see below), whose sum is σ = 13121826816. Its totient is φ = 1909440000.

The previous prime is 5206032959. The next prime is 5206033061. The reversal of 5206033040 is 403306025.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5206032997 and 5206033015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140465 + ... + 173615.

Almost surely, 25206033040 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 5206033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560913408).

5206033040 is an abundant number, since it is smaller than the sum of its proper divisors (7915793776).

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

5206033040 is a wasteful number, since it uses less digits than its factorization.

5206033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33328 (or 33322 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 5206033040 is about 72152.8449889538. The cubic root of 5206033040 is about 1733.1479588080.

Adding to 5206033040 its reverse (403306025), we get a palindrome (5609339065).

The spelling of 5206033040 in words is "five billion, two hundred six million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 151 208 260 302 520 604 755 1040 1208 1510 1963 2416 3020 3926 6040 7852 9815 12080 15704 19630 31408 33151 39260 66302 78520 132604 157040 165755 265208 331510 430963 530416 663020 861926 1326040 1723852 2154815 2652080 3447704 4309630 5005801 6895408 8619260 10011602 17238520 20023204 25029005 34477040 40046408 50058010 65075413 80092816 100116020 130150826 200232040 260301652 325377065 400464080 520603304 650754130 1041206608 1301508260 2603016520 5206033040