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4020468672 = 263113116121
BaseRepresentation
bin1110111110100011…
…0111101111000000
3101101012012222012010
43233220313233000
531213214444142
61502540332520
7201426264003
oct35750675700
911335188163
104020468672
1117834a4690
12942544140
134c0c3a25c
142a1d6153a
15187e69e9c
hexefa37bc0

4020468672 has 112 divisors (see below), whose sum is σ = 11643750144. Its totient is φ = 1214208000.

The previous prime is 4020468659. The next prime is 4020468691. The reversal of 4020468672 is 2768640204.

It is a self number, because there is not a number n which added to its sum of digits gives 4020468672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653772 + ... + 659892.

Almost surely, 24020468672 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 4020468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821875072).

4020468672 is an abundant number, since it is smaller than the sum of its proper divisors (7623281472).

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

4020468672 is a wasteful number, since it uses less digits than its factorization.

4020468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4020468672 is about 63407.1657780097. The cubic root of 4020468672 is about 1590.1041124817.

The spelling of 4020468672 in words is "four billion, twenty million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 311 352 528 622 704 933 1056 1244 1866 2112 2488 3421 3732 4976 6121 6842 7464 9952 10263 12242 13684 14928 18363 19904 20526 24484 27368 29856 36726 41052 48968 54736 59712 67331 73452 82104 97936 109472 134662 146904 164208 195872 201993 218944 269324 293808 328416 391744 403986 538648 587616 656832 807972 1077296 1175232 1615944 1903631 2154592 3231888 3807262 4309184 5710893 6463776 7614524 11421786 12927552 15229048 20939941 22843572 30458096 41879882 45687144 60916192 62819823 83759764 91374288 121832384 125639646 167519528 182748576 251279292 335039056 365497152 502558584 670078112 1005117168 1340156224 2010234336 4020468672