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6220744704 = 211331931191
BaseRepresentation
bin1011100101100100…
…10000100000000000
3121001112102120111000
411302302100200000
5100220002312304
62505140052000
7310104312636
oct56262204000
917045376430
106220744704
1127024a2629
121257394000
13781a37435
14430271356
152661dd939
hex172c90800

6220744704 has 384 divisors, whose sum is σ = 20127744000. Its totient is φ = 1891123200.

The previous prime is 6220744697. The next prime is 6220744711. The reversal of 6220744704 is 4074470226.

It is a happy number.

6220744704 is a `hidden beast` number, since 6 + 2 + 207 + 447 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6220744697) and next prime (6220744711).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32569249 + ... + 32569439.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 26220744704 is an apocalyptic number.

6220744704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6220744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872000).

6220744704 is an abundant number, since it is smaller than the sum of its proper divisors (13906999296).

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

6220744704 is a wasteful number, since it uses less digits than its factorization.

6220744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 6220744704 is about 78871.6977375281. The cubic root of 6220744704 is about 1839.1371884169.

The spelling of 6220744704 in words is "six billion, two hundred twenty million, seven hundred forty-four thousand, seven hundred four".