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6380116380 = 22325113222281
BaseRepresentation
bin1011111000100100…
…01101100110011100
3121110122022111022200
411330102031212130
5101031302211010
62533032011500
7314051044251
oct57422154634
917418274280
106380116380
112784455960
1212a0830b90
137a8a67bc1
144474b9428
152751becc0
hex17c48d99c

6380116380 has 72 divisors (see below), whose sum is σ = 21112391664. Its totient is φ = 1546694400.

The previous prime is 6380116373. The next prime is 6380116403. The reversal of 6380116380 is 836110836.

6380116380 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 11 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1609161 + ... + 1613120.

It is an arithmetic number, because the mean of its divisors is an integer number (293227662).

Almost surely, 26380116380 is an apocalyptic number.

6380116380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6380116380 is an abundant number, since it is smaller than the sum of its proper divisors (14732275284).

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

6380116380 is a wasteful number, since it uses less digits than its factorization.

6380116380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222307 (or 3222302 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6380116380 is about 79875.6307017353. The cubic root of 6380116380 is about 1854.7107973717.

It can be divided in two parts, 6380 and 116380, that added together give a triangular number (122760 = T495).

The spelling of 6380116380 in words is "six billion, three hundred eighty million, one hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3222281 6444562 9666843 12889124 16111405 19333686 29000529 32222810 35445091 38667372 48334215 58001058 64445620 70890182 96668430 106335273 116002116 141780364 145002645 177225455 193336860 212670546 290005290 319005819 354450910 425341092 531676365 580010580 638011638 708901820 1063352730 1276023276 1595029095 2126705460 3190058190 6380116380