Search a number
-
+
6105143736 = 2332235936217
BaseRepresentation
bin1011010111110010…
…10001100110111000
3120202110220102202200
411223321101212320
5100000404044421
62445450230200
7304201602606
oct55371214670
916673812680
106105143736
11265321593a
121224725360
13763ac08b3
1441cb7c876
1525aea6726
hex16be519b8

6105143736 has 96 divisors (see below), whose sum is σ = 17285542560. Its totient is φ = 1942972416.

The previous prime is 6105143659. The next prime is 6105143747. The reversal of 6105143736 is 6373415016.

6105143736 is a `hidden beast` number, since 610 + 5 + 1 + 4 + 3 + 7 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6105143736.

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, 978900 + ... + 985116.

It is an arithmetic number, because the mean of its divisors is an integer number (180057735).

Almost surely, 26105143736 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 6105143736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642771280).

6105143736 is an abundant number, since it is smaller than the sum of its proper divisors (11180398824).

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

6105143736 is a wasteful number, since it uses less digits than its factorization.

6105143736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6105143736 is about 78135.4192156157. The cubic root of 6105143736 is about 1827.6735679517.

The spelling of 6105143736 in words is "six billion, one hundred five million, one hundred forty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 593 828 1186 1656 1779 2372 3558 4744 5337 6217 7116 10674 12434 13639 14232 18651 21348 24868 27278 37302 40917 42696 49736 54556 55953 74604 81834 109112 111906 122751 142991 149208 163668 223812 245502 285982 327336 428973 447624 491004 571964 857946 982008 1143928 1286919 1715892 2573838 3431784 3686681 5147676 7373362 10295352 11060043 14746724 22120086 29493448 33180129 44240172 66360258 84793663 88480344 132720516 169587326 254380989 265441032 339174652 508761978 678349304 763142967 1017523956 1526285934 2035047912 3052571868 6105143736