Search a number
-
+
6775431430020 = 22351166569154213
BaseRepresentation
bin110001010011000011100…
…1011101111111110000100
3212222201120110120121210120
41202212013023233332010
51342002040421230040
622224331253421540
71266336335626251
oct142460713577604
925881513517716
106775431430020
112182498452960
1291515a33a8b0
133a1bc729a3a6
14195d0b1d4428
15bb3a03c87d0
hex629872eff84

6775431430020 has 96 divisors (see below), whose sum is σ = 20696308375680. Its totient is φ = 1642493506560.

The previous prime is 6775431429931. The next prime is 6775431430021. The reversal of 6775431430020 is 200341345776.

It is a super-3 number, since 3×67754314300203 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6775431430021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43858434 + ... + 44012646.

It is an arithmetic number, because the mean of its divisors is an integer number (215586545580).

Almost surely, 26775431430020 is an apocalyptic number.

6775431430020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6775431430020 is an abundant number, since it is smaller than the sum of its proper divisors (13920876945660).

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

6775431430020 is a wasteful number, since it uses less digits than its factorization.

6775431430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220805 (or 220803 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

Adding to 6775431430020 its reverse (200341345776), we get a palindrome (6975772775796).

The spelling of 6775431430020 in words is "six trillion, seven hundred seventy-five billion, four hundred thirty-one million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 66569 133138 154213 199707 266276 308426 332845 399414 462639 616852 665690 732259 771065 798828 925278 998535 1331380 1464518 1542130 1696343 1850556 1997070 2196777 2313195 2929036 3084260 3392686 3661295 3994140 4393554 4626390 5089029 6785372 7322590 8481715 8787108 9252780 10178058 10983885 14645180 16963430 20356116 21967770 25445145 33926860 43935540 50890290 101780580 10265805197 20531610394 30797415591 41063220788 51329025985 61594831182 102658051970 112923857167 123189662364 153987077955 205316103940 225847714334 307974155910 338771571501 451695428668 564619285835 615948311820 677543143002 1129238571670 1355086286004 1693857857505 2258477143340 3387715715010 6775431430020