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6085738980 = 223453756629
BaseRepresentation
bin1011010101011110…
…10000000111100100
3120201010101120110000
411222233100013210
544430422121410
62443514301300
7303544633146
oct55257200744
916633346400
106085738980
112643271852
12121a127830
1375ca883a9
1441a36ac96
15259421dc0
hex16abd01e4

6085738980 has 60 divisors (see below), whose sum is σ = 19091193660. Its totient is φ = 1622863296.

The previous prime is 6085738979. The next prime is 6085739041. The reversal of 6085738980 is 898375806.

It is a happy number.

6085738980 is a `hidden beast` number, since 60 + 8 + 573 + 8 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1025408484 + 5060330496 = 32022^2 + 71136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1876695 + ... + 1879934.

It is an arithmetic number, because the mean of its divisors is an integer number (318186561).

Almost surely, 26085738980 is an apocalyptic number.

6085738980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6085738980 is an abundant number, since it is smaller than the sum of its proper divisors (13005454680).

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

6085738980 is a wasteful number, since it uses less digits than its factorization.

6085738980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756650 (or 3756639 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6085738980 is about 78011.1465112518. The cubic root of 6085738980 is about 1825.7351368756.

The spelling of 6085738980 in words is "six billion, eighty-five million, seven hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3756629 7513258 11269887 15026516 18783145 22539774 33809661 37566290 45079548 56349435 67619322 75132580 101428983 112698870 135238644 169048305 202857966 225397740 304286949 338096610 405715932 507144915 608573898 676193220 1014289830 1217147796 1521434745 2028579660 3042869490 6085738980