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5216711040 = 27345103977
BaseRepresentation
bin1001101101111000…
…01011000110000000
3111110120011101020000
410312330023012000
541140434223130
62221352120000
7243163212042
oct46674130600
914416141200
105216711040
112237774242
121017096000
13651a17288
14376b93a92
15207eb2260
hex136f0b180

5216711040 has 320 divisors, whose sum is σ = 18829942560. Its totient is φ = 1376206848.

The previous prime is 5216710999. The next prime is 5216711057. The reversal of 5216711040 is 401176125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5216710995 and 5216711013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5339032 + ... + 5340008.

Almost surely, 25216711040 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 5216711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414971280).

5216711040 is an abundant number, since it is smaller than the sum of its proper divisors (13613231520).

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

5216711040 is a wasteful number, since it uses less digits than its factorization.

5216711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5216711040 is about 72226.8027812390. The cubic root of 5216711040 is about 1734.3320923790.

Adding to 5216711040 its reverse (401176125), we get a palindrome (5617887165).

The spelling of 5216711040 in words is "five billion, two hundred sixteen million, seven hundred eleven thousand, forty".