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6161334084 = 22322923412521
BaseRepresentation
bin1011011110011111…
…00111111101000100
3120220101122012102200
411233033213331010
5100104300142314
62455214434500
7305453322063
oct55717477504
916811565380
106161334084
112681a04544
12123b502a30
13772635819
144264081da
15260da5709
hex16f3e7f44

6161334084 has 72 divisors (see below), whose sum is σ = 16124810520. Its totient is φ = 1981324800.

The previous prime is 6161334083. The next prime is 6161334133. The reversal of 6161334084 is 4804331616.

It is a happy number.

6161334084 is a `hidden beast` number, since 6 + 1 + 613 + 34 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66096900 + 6095237184 = 8130^2 + 78072^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6161334083) 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, 2442744 + ... + 2445264.

Almost surely, 26161334084 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 6161334084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062405260).

6161334084 is an abundant number, since it is smaller than the sum of its proper divisors (9963476436).

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

6161334084 is a wasteful number, since it uses less digits than its factorization.

6161334084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6161334084 is about 78494.1659233347. The cubic root of 6161334084 is about 1833.2636163314.

The spelling of 6161334084 in words is "six billion, one hundred sixty-one million, three hundred thirty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2341 2521 4682 5042 7023 7563 9364 10084 14046 15126 21069 22689 28092 30252 42138 45378 67889 73109 84276 90756 135778 146218 203667 219327 271556 292436 407334 438654 611001 657981 814668 877308 1222002 1315962 2444004 2631924 5901661 11803322 17704983 23606644 35409966 53114949 70819932 106229898 171148169 212459796 342296338 513444507 684592676 1026889014 1540333521 2053778028 3080667042 6161334084