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6420223616 = 27893791487
BaseRepresentation
bin1011111101010110…
…01101011010000000
3121120102210011002212
411332223031122000
5101122034123431
62541023401252
7315046000052
oct57653153200
917512704085
106420223616
1127a505a034
1212b2153228
137b416b4b1
1444c9598d2
1527899372b
hex17eacd680

6420223616 has 64 divisors (see below), whose sum is σ = 12976848000. Its totient is φ = 3163539456.

The previous prime is 6420223583. The next prime is 6420223627. The reversal of 6420223616 is 6163220246.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4316825 + ... + 4318311.

It is an arithmetic number, because the mean of its divisors is an integer number (202763250).

Almost surely, 26420223616 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 6420223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488424000).

6420223616 is an abundant number, since it is smaller than the sum of its proper divisors (6556624384).

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

6420223616 is a wasteful number, since it uses less digits than its factorization.

6420223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 6420223616 is about 80126.2979052446. The cubic root of 6420223616 is about 1858.5890961367.

The spelling of 6420223616 in words is "six billion, four hundred twenty million, two hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 379 712 758 1424 1487 1516 2848 2974 3032 5696 5948 6064 11392 11896 12128 23792 24256 33731 47584 48512 67462 95168 132343 134924 190336 264686 269848 529372 539696 563573 1058744 1079392 1127146 2117488 2158784 2254292 4234976 4317568 4508584 8469952 9017168 16939904 18034336 36068672 50157997 72137344 100315994 200631988 401263976 802527952 1605055904 3210111808 6420223616