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5680696320 = 2103351329109
BaseRepresentation
bin1010100101001100…
…01000110000000000
3112122220020021101000
411102212020300000
543113224240240
62335405012000
7260526056565
oct52246106000
915586207330
105680696320
112455672252
121126554000
136c6b9c790
143bc65286c
15233ab4430
hex152988c00

5680696320 has 704 divisors, whose sum is σ = 22697136000. Its totient is φ = 1337720832.

The previous prime is 5680696283. The next prime is 5680696327. The reversal of 5680696320 is 236960865.

It is a happy number.

5680696320 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 6 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5680696327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52116426 + ... + 52116534.

It is an arithmetic number, because the mean of its divisors is an integer number (32240250).

Almost surely, 25680696320 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 5680696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11348568000).

5680696320 is an abundant number, since it is smaller than the sum of its proper divisors (17016439680).

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

5680696320 is a wasteful number, since it uses less digits than its factorization.

5680696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5680696320 is about 75370.3941876384. The cubic root of 5680696320 is about 1784.2971881850.

The spelling of 5680696320 in words is "five billion, six hundred eighty million, six hundred ninety-six thousand, three hundred twenty".