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6294419664 = 2431310794273
BaseRepresentation
bin1011101110010110…
…10011100011010000
3121020200001122112020
411313023103203100
5100342332412124
62520331131440
7311660453511
oct56713234320
917220048466
106294419664
112740043725
121277ba3b80
137940918a0
14439d6ca08
1526c8e3379
hex1772d38d0

6294419664 has 80 divisors (see below), whose sum is σ = 17675243712. Its totient is φ = 1918623744.

The previous prime is 6294419657. The next prime is 6294419669. The reversal of 6294419664 is 4669144926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6294419669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19632 + ... + 113904.

Almost surely, 26294419664 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 6294419664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837621856).

6294419664 is an abundant number, since it is smaller than the sum of its proper divisors (11380824048).

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

6294419664 is a wasteful number, since it uses less digits than its factorization.

6294419664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94404 (or 94398 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 6294419664 is about 79337.3787315916. The cubic root of 6294419664 is about 1846.3692769348.

The spelling of 6294419664 in words is "six billion, two hundred ninety-four million, four hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1712 2568 2782 4173 5136 5564 8346 11128 16692 22256 33384 66768 94273 188546 282819 377092 565638 754184 1131276 1225549 1508368 2262552 2451098 3676647 4525104 4902196 7353294 9804392 10087211 14706588 19608784 20174422 29413176 30261633 40348844 58826352 60523266 80697688 121046532 131133743 161395376 242093064 262267486 393401229 484186128 524534972 786802458 1049069944 1573604916 2098139888 3147209832 6294419664