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5041415104 = 261141389449
BaseRepresentation
bin1001011000111110…
…11110001111000000
3111000100022102101221
410230133132033000
540311100240404
62152131004424
7235634215135
oct45437361700
914010272357
105041415104
112157824870
12b88439714
136245cc57b
1435b7a258c
151e78d7954
hex12c7de3c0

5041415104 has 112 divisors (see below), whose sum is σ = 11233404000. Its totient is φ = 2224947200.

The previous prime is 5041415087. The next prime is 5041415117. The reversal of 5041415104 is 4015141405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227872 + ... + 11228320.

It is an arithmetic number, because the mean of its divisors is an integer number (100298250).

Almost surely, 25041415104 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 5041415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616702000).

5041415104 is an abundant number, since it is smaller than the sum of its proper divisors (6191988896).

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

5041415104 is a wasteful number, since it uses less digits than its factorization.

5041415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 5041415104 is about 71002.9232074286. The cubic root of 5041415104 is about 1714.6842263579.

Adding to 5041415104 its reverse (4015141405), we get a palindrome (9056556509).

The spelling of 5041415104 in words is "five billion, forty-one million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 389 449 451 656 704 778 898 902 1312 1556 1796 1804 2624 3112 3592 3608 4279 4939 6224 7184 7216 8558 9878 12448 14368 14432 15949 17116 18409 19756 24896 28736 28864 31898 34232 36818 39512 63796 68464 73636 79024 127592 136928 147272 158048 174661 175439 202499 255184 273856 294544 316096 349322 350878 404998 510368 589088 698644 701756 809996 1020736 1178176 1397288 1403512 1619992 1921271 2794576 2807024 3239984 3842542 5589152 5614048 6479968 7161101 7685084 11178304 11228096 12959936 14322202 15370168 28644404 30740336 57288808 61480672 78772111 114577616 122961344 157544222 229155232 315088444 458310464 630176888 1260353776 2520707552 5041415104