Search a number
-
+
2664132646924 = 2273137444118679
BaseRepresentation
bin100110110001001010101…
…011100001100000001100
3100102200120222120221000201
4212301022223201200030
5322122120424200144
65355515144303244
7363322455601060
oct46611253414014
910380528527021
102664132646924
11937941475221
123703b0771b24
131642c3ba4968
1492d323c9aa0
15494782c61d4
hex26c4aae180c

2664132646924 has 96 divisors (see below), whose sum is σ = 5650371829760. Its totient is φ = 1074776947200.

The previous prime is 2664132646919. The next prime is 2664132646937. The reversal of 2664132646924 is 4296462314662.

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 31 ways as a sum of consecutive naturals, for example, 142617817 + ... + 142636495.

Almost surely, 22664132646924 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 2664132646924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825185914880).

2664132646924 is an abundant number, since it is smaller than the sum of its proper divisors (2986239182836).

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

2664132646924 is a wasteful number, since it uses less digits than its factorization.

2664132646924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23199 (or 23197 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 55.

The spelling of 2664132646924 in words is "two trillion, six hundred sixty-four billion, one hundred thirty-two million, six hundred forty-six thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 37 62 74 124 148 217 259 434 518 868 1036 1147 2294 4441 4588 8029 8882 16058 17764 18679 31087 32116 37358 62174 74716 124348 130753 137671 164317 261506 275342 328634 523012 550684 579049 657268 691123 963697 1150219 1158098 1382246 1927394 2300438 2316196 2764492 3854788 4053343 4600876 4837861 5093827 8106686 9675722 10187654 16213372 19351444 20375308 21424813 35656789 42849626 71313578 82953439 85699252 142627156 149973691 165906878 299947382 331813756 580674073 599894764 1161348146 2322696292 2571556609 3069277243 5143113218 6138554486 10286226436 12277108972 18000896263 21484940701 36001792526 42969881402 72003585052 85939762804 95147594533 190295189066 380590378132 666033161731 1332066323462 2664132646924