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2666763864 = 233343328513
BaseRepresentation
bin1001111011110011…
…1001011001011000
320212211222122022000
42132330321121120
520430142420424
61120342001000
7123041055522
oct23674713130
96784878260
102666763864
111149356186
12625116160
1333664a7ab
141b4260a12
151091bc3c9
hex9ef39658

2666763864 has 64 divisors (see below), whose sum is σ = 7425045600. Its totient is φ = 886837248.

The previous prime is 2666763859. The next prime is 2666763877. The reversal of 2666763864 is 4683676662.

It is a super-2 number, since 2×26667638642 = 14223259012672420992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2666763864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79272 + ... + 107784.

Almost surely, 22666763864 is an apocalyptic number.

2666763864 is a gapful number since it is divisible by the number (24) 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 2666763864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712522800).

2666763864 is an abundant number, since it is smaller than the sum of its proper divisors (4758281736).

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

2666763864 is a wasteful number, since it uses less digits than its factorization.

2666763864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28961 (or 28951 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 2666763864 is about 51640.7190499900. The cubic root of 2666763864 is about 1386.7393967133.

The spelling of 2666763864 in words is "two billion, six hundred sixty-six million, seven hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 433 866 1299 1732 2598 3464 3897 5196 7794 10392 11691 15588 23382 28513 31176 46764 57026 85539 93528 114052 171078 228104 256617 342156 513234 684312 769851 1026468 1539702 2052936 3079404 6158808 12346129 24692258 37038387 49384516 74076774 98769032 111115161 148153548 222230322 296307096 333345483 444460644 666690966 888921288 1333381932 2666763864