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2664440057304 = 2332191193749277
BaseRepresentation
bin100110110001011101000…
…000001100110111011000
3100102201101102000222210100
4212301131000030313120
5322123233123313204
65400005445215400
7363333210543204
oct46613500146730
910381342028710
102664440057304
11937a89a50193
12370477701560
131643427986ac
1492d6116bb04
154949529aa39
hex26c5d00cdd8

2664440057304 has 48 divisors (see below), whose sum is σ = 7253972968320. Its totient is φ = 883496698560.

The previous prime is 2664440057297. The next prime is 2664440057311. The reversal of 2664440057304 is 4037500444662.

2664440057304 is a `hidden beast` number, since 266 + 44 + 40 + 0 + 5 + 7 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (2664440057297) and next prime (2664440057311).

It is a super-2 number, since 2×26644400573042 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2664440057304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96860887 + ... + 96888390.

It is an arithmetic number, because the mean of its divisors is an integer number (151124436840).

Almost surely, 22664440057304 is an apocalyptic number.

2664440057304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2664440057304 is an abundant number, since it is smaller than the sum of its proper divisors (4589532911016).

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

2664440057304 is a wasteful number, since it uses less digits than its factorization.

2664440057304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193749480 (or 193749473 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2664440057304 in words is "two trillion, six hundred sixty-four billion, four hundred forty million, fifty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 13752 193749277 387498554 581247831 774997108 1162495662 1549994216 1743743493 2324991324 3487486986 4649982648 6974973972 13949947944 37006111907 74012223814 111018335721 148024447628 222036671442 296048895256 333055007163 444073342884 666110014326 888146685768 1332220028652 2664440057304