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4161135366 = 232376793253
BaseRepresentation
bin1111100000000101…
…1110001100000110
3101201222220120121200
43320001132030012
532010222312431
61524523323330
7205055031663
oct37001361406
911658816550
104161135366
111845941653
12981680546
1351411bb9b
142b68daa6a
151954a3ee6
hexf805e306

4161135366 has 48 divisors (see below), whose sum is σ = 9397765104. Its totient is φ = 1329400512.

The previous prime is 4161135361. The next prime is 4161135449. The reversal of 4161135366 is 6635311614.

4161135366 is a `hidden beast` number, since 4 + 1 + 6 + 113 + 536 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4161135366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161135361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005 + ... + 91248.

It is an arithmetic number, because the mean of its divisors is an integer number (195786773).

Almost surely, 24161135366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161135366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698882552).

4161135366 is an abundant number, since it is smaller than the sum of its proper divisors (5236629738).

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

4161135366 is a wasteful number, since it uses less digits than its factorization.

4161135366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93365 (or 93362 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 4161135366 is about 64506.8629372100. The cubic root of 4161135366 is about 1608.4366040794.

The spelling of 4161135366 in words is "four billion, one hundred sixty-one million, one hundred thirty-five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 67 74 111 134 201 222 333 402 603 666 1206 2479 4958 7437 14874 22311 44622 93253 186506 279759 559518 839277 1678554 3450361 6247951 6900722 10351083 12495902 18743853 20702166 31053249 37487706 56231559 62106498 112463118 231174187 462348374 693522561 1387045122 2080567683 4161135366