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6041164352 = 26412233241
BaseRepresentation
bin1011010000001010…
…01101101001000000
3120121000111221112212
411220011031221000
544333014224402
62435243041252
7302464023026
oct55005155100
916530457485
106041164352
112620097213
121207210228
1375377c582
14414486716
15255569952
hex16814da40

6041164352 has 84 divisors (see below), whose sum is σ = 12391395588. Its totient is φ = 2922086400.

The previous prime is 6041164351. The next prime is 6041164391. The reversal of 6041164352 is 2534611406.

It can be written as a sum of positive squares in 6 ways, for example, as 1875236416 + 4165927936 = 43304^2 + 64544^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (6041164351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25066952 + ... + 25067192.

Almost surely, 26041164352 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 6041164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195697794).

6041164352 is an abundant number, since it is smaller than the sum of its proper divisors (6350231236).

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

6041164352 is a wasteful number, since it uses less digits than its factorization.

6041164352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 6041164352 is about 77724.9274814715. The cubic root of 6041164352 is about 1821.2667138679.

Adding to 6041164352 its reverse (2534611406), we get a palindrome (8575775758).

The spelling of 6041164352 in words is "six billion, forty-one million, one hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 233 241 328 466 482 656 932 964 1312 1681 1864 1928 2624 3362 3728 3856 6724 7456 7712 9553 9881 13448 14912 15424 19106 19762 26896 38212 39524 53792 56153 76424 79048 107584 112306 152848 158096 224612 305696 316192 391673 405121 449224 611392 632384 783346 810242 898448 1566692 1620484 1796896 2302273 3133384 3240968 3593792 4604546 6266768 6481936 9209092 12533536 12963872 18418184 25067072 25927744 36836368 73672736 94393193 147345472 188786386 377572772 755145544 1510291088 3020582176 6041164352