Search a number
-
+
6665425104 = 2431341614271
BaseRepresentation
bin1100011010100101…
…00101000011010000
3122012112011200022110
412031102211003100
5102122322100404
63021223105320
7324114115152
oct61522450320
918175150273
106665425104
112910505598
1213602a2240
13822bc0a30
14473346ad2
1529027ab89
hex18d4a50d0

6665425104 has 160 divisors (see below), whose sum is σ = 19311763968. Its totient is φ = 1967616000.

The previous prime is 6665425099. The next prime is 6665425133. The reversal of 6665425104 is 4015245666.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558489 + ... + 1562759.

Almost surely, 26665425104 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 6665425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9655881984).

6665425104 is an abundant number, since it is smaller than the sum of its proper divisors (12646338864).

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

6665425104 is a wasteful number, since it uses less digits than its factorization.

6665425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 6665425104 is about 81642.0547512126. The cubic root of 6665425104 is about 1881.9552149882.

The spelling of 6665425104 in words is "six billion, six hundred sixty-five million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 61 78 82 104 122 123 156 164 183 208 244 246 312 328 366 488 492 533 624 656 732 793 976 984 1066 1464 1586 1599 1968 2132 2379 2501 2928 3172 3198 4264 4271 4758 5002 6344 6396 7503 8528 8542 9516 10004 12688 12792 12813 15006 17084 19032 20008 25584 25626 30012 32513 34168 38064 40016 51252 55523 60024 65026 68336 97539 102504 111046 120048 130052 166569 175111 195078 205008 222092 260104 260531 333138 350222 390156 444184 520208 521062 525333 666276 700444 780312 781593 888368 1042124 1050666 1332552 1400888 1560624 1563186 2084248 2101332 2276443 2665104 2801776 3126372 3386903 4168496 4202664 4552886 6252744 6773806 6829329 8405328 9105772 10160709 10681771 12505488 13547612 13658658 18211544 20321418 21363542 27095224 27317316 32045313 36423088 40642836 42727084 54190448 54634632 64090626 81285672 85454168 109269264 128181252 138863023 162571344 170908336 256362504 277726046 416589069 512725008 555452092 833178138 1110904184 1666356276 2221808368 3332712552 6665425104