Search a number
-
+
6746790144 = 28329302927
BaseRepresentation
bin1100100100010001…
…11101100100000000
3122102012021110011110
412102020331210000
5102304134241034
63033251043320
7326122525053
oct62210754400
918365243143
106746790144
112952429326
1213835a0540
13836a0b523
14480086a9a
1529749dde9
hex19223d900

6746790144 has 72 divisors (see below), whose sum is σ = 18575544960. Its totient is φ = 2171373568.

The previous prime is 6746790143. The next prime is 6746790157. The reversal of 6746790144 is 4410976476.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6746790093 and 6746790102.

It is not an unprimeable number, because it can be changed into a prime (6746790143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129192 + ... + 173735.

It is an arithmetic number, because the mean of its divisors is an integer number (257993680).

Almost surely, 26746790144 is an apocalyptic number.

6746790144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6746790144 is an abundant number, since it is smaller than the sum of its proper divisors (11828754816).

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

6746790144 is a wasteful number, since it uses less digits than its factorization.

6746790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302975 (or 302961 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 6746790144 is about 82138.8467413562. The cubic root of 6746790144 is about 1889.5819595566.

The spelling of 6746790144 in words is "six billion, seven hundred forty-six million, seven hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 302927 605854 908781 1211708 1817562 2423416 3635124 4846832 7270248 8784883 9693664 14540496 17569766 19387328 26354649 29080992 35139532 38774656 52709298 58161984 70279064 77549312 105418596 116323968 140558128 210837192 232647936 281116256 421674384 562232512 843348768 1124465024 1686697536 2248930048 3373395072 6746790144