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6305089104 = 2432475931571
BaseRepresentation
bin1011101111101000…
…00000011001010000
3121021102010201020200
411313310000121100
5100403100322404
62521351535200
7312150241656
oct56764003120
917242121220
106305089104
112746070846
12127b68a500
13796359072
1443b548dd6
1526d7ee839
hex177d00650

6305089104 has 120 divisors (see below), whose sum is σ = 18062808192. Its totient is φ = 2052203520.

The previous prime is 6305089093. The next prime is 6305089123. The reversal of 6305089104 is 4019805036.

6305089104 is a `hidden beast` number, since 63 + 0 + 508 + 91 + 0 + 4 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4012639 + ... + 4014209.

Almost surely, 26305089104 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 6305089104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031404096).

6305089104 is an abundant number, since it is smaller than the sum of its proper divisors (11757719088).

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

6305089104 is a wasteful number, since it uses less digits than its factorization.

6305089104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6305089104 is about 79404.5912022724. The cubic root of 6305089104 is about 1847.4119256606.

The spelling of 6305089104 in words is "six billion, three hundred five million, eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 593 752 846 1128 1186 1571 1692 1779 2256 2372 3142 3384 3558 4713 4744 5337 6284 6768 7116 9426 9488 10674 12568 14139 14232 18852 21348 25136 27871 28278 28464 37704 42696 55742 56556 73837 75408 83613 85392 111484 113112 147674 167226 221511 222968 226224 250839 295348 334452 443022 445936 501678 590696 664533 668904 886044 931603 1003356 1181392 1329066 1337808 1772088 1863206 2006712 2658132 2794809 3544176 3726412 4013424 5316264 5589618 7452824 8384427 10632528 11179236 14905648 16768854 22358472 33537708 43785341 44716944 67075416 87570682 131356023 134150832 175141364 262712046 350282728 394068069 525424092 700565456 788136138 1050848184 1576272276 2101696368 3152544552 6305089104