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6105065004 = 2232894314421
BaseRepresentation
bin1011010111110001…
…11110011000101100
3120202110202102202200
411223320332120230
5100000344040004
62445444421500
7304201124223
oct55370763054
916673672680
106105065004
112653171775
1212246a7890
13763a93acc
1441cb5bcba
1525ae8d239
hex16be3e62c

6105065004 has 72 divisors (see below), whose sum is σ = 15645389760. Its totient is φ = 2007033600.

The previous prime is 6105064969. The next prime is 6105065017. The reversal of 6105065004 is 4005605016.

It is a happy number.

6105065004 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 0 + 650 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378714 + ... + 1383134.

It is an arithmetic number, because the mean of its divisors is an integer number (217297080).

Almost surely, 26105065004 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 6105065004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822694880).

6105065004 is an abundant number, since it is smaller than the sum of its proper divisors (9540324756).

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

6105065004 is a wasteful number, since it uses less digits than its factorization.

6105065004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6105065004 is about 78134.9153963835. The cubic root of 6105065004 is about 1827.6657113519.

The spelling of 6105065004 in words is "six billion, one hundred five million, sixty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 431 534 801 862 1068 1293 1602 1724 2586 3204 3879 4421 5172 7758 8842 13263 15516 17684 26526 38359 39789 53052 76718 79578 115077 153436 159156 230154 345231 393469 460308 690462 786938 1180407 1380924 1573876 1905451 2360814 3541221 3810902 4721628 5716353 7082442 7621804 11432706 14164884 17149059 22865412 34298118 68596236 169585139 339170278 508755417 678340556 1017510834 1526266251 2035021668 3052532502 6105065004