Search a number
-
+
6768810880 = 27513813559
BaseRepresentation
bin1100100110111001…
…11101101110000000
3122110201201012221021
412103130331232000
5102330303422010
63035355035224
7326510641336
oct62334755600
918421635837
106768810880
1129638a9887
12138aa3bb14
1383b44b650
14482d79b56
1529939d8da
hex19373db80

6768810880 has 64 divisors (see below), whose sum is σ = 17426455200. Its totient is φ = 2499250176.

The previous prime is 6768810877. The next prime is 6768810883. The reversal of 6768810880 is 880188676.

It is an interprime number because it is at equal distance from previous prime (6768810877) and next prime (6768810883).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768810883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 398460 + ... + 415099.

Almost surely, 26768810880 is an apocalyptic number.

It is an amenable number.

6768810880 is an abundant number, since it is smaller than the sum of its proper divisors (10657644320).

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

6768810880 is a wasteful number, since it uses less digits than its factorization.

6768810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813591 (or 813579 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The square root of 6768810880 is about 82272.7833490517. The cubic root of 6768810880 is about 1891.6355186791.

The spelling of 6768810880 in words is "six billion, seven hundred sixty-eight million, eight hundred ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 813559 1627118 3254236 4067795 6508472 8135590 10576267 13016944 16271180 21152534 26033888 32542360 42305068 52067776 52881335 65084720 84610136 104135552 105762670 130169440 169220272 211525340 260338880 338440544 423050680 520677760 676881088 846101360 1353762176 1692202720 3384405440 6768810880