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4016124896 = 25731797321
BaseRepresentation
bin1110111101100001…
…0011001111100000
3101100220001021122112
43233120103033200
531211111444041
61502303254452
7201344332640
oct35730231740
911326037575
104016124896
111780aa8093
12940baa428
134c0079084
142a1550520
151878acdeb
hexef6133e0

4016124896 has 96 divisors (see below), whose sum is σ = 9447137280. Its totient is φ = 1644364800.

The previous prime is 4016124877. The next prime is 4016124899. The reversal of 4016124896 is 6984216104.

It is a super-2 number, since 2×40161248962 = 32258518360542021632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016124899) by changing a digit.

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, 544916 + ... + 552236.

It is an arithmetic number, because the mean of its divisors is an integer number (98407680).

Almost surely, 24016124896 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 4016124896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723568640).

4016124896 is an abundant number, since it is smaller than the sum of its proper divisors (5431012384).

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

4016124896 is a wasteful number, since it uses less digits than its factorization.

4016124896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7440 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 4016124896 is about 63372.9034840601. The cubic root of 4016124896 is about 1589.5312485003.

The spelling of 4016124896 in words is "four billion, sixteen million, one hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 79 112 124 158 217 224 248 316 434 496 553 632 868 992 1106 1264 1736 2212 2449 2528 3472 4424 4898 6944 7321 8848 9796 14642 17143 17696 19592 29284 34286 39184 51247 58568 68572 78368 102494 117136 137144 204988 226951 234272 274288 409976 453902 548576 578359 819952 907804 1156718 1588657 1639904 1815608 2313436 3177314 3631216 4048513 4626872 6354628 7262432 8097026 9253744 12709256 16194052 17929129 18507488 25418512 32388104 35858258 50837024 64776208 71716516 125503903 129552416 143433032 251007806 286866064 502015612 573732128 1004031224 2008062448 4016124896