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4168704912 = 2431731223739
BaseRepresentation
bin1111100001111001…
…0110001110010000
3101202112011011002020
43320132112032100
532014142024122
61525353451440
7205206256431
oct37036261620
911675134066
104168704912
11184a141779
12984110b80
1351586c3c8
142b790b488
15195e9bc5c
hexf8796390

4168704912 has 160 divisors (see below), whose sum is σ = 11839242240. Its totient is φ = 1258260480.

The previous prime is 4168704857. The next prime is 4168704919. The reversal of 4168704912 is 2194078614.

4168704912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4168704919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5640639 + ... + 5641377.

It is an arithmetic number, because the mean of its divisors is an integer number (73995264).

Almost surely, 24168704912 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 4168704912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919621120).

4168704912 is an abundant number, since it is smaller than the sum of its proper divisors (7670537328).

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

4168704912 is a wasteful number, since it uses less digits than its factorization.

4168704912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4168704912 is about 64565.5086869143. The cubic root of 4168704912 is about 1609.4113188006.

The spelling of 4168704912 in words is "four billion, one hundred sixty-eight million, seven hundred four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 223 248 272 372 408 446 496 527 669 739 744 816 892 1054 1338 1478 1488 1581 1784 2108 2217 2676 2956 3162 3568 3791 4216 4434 5352 5912 6324 6913 7582 8432 8868 10704 11373 11824 12563 12648 13826 15164 17736 20739 22746 22909 25126 25296 27652 30328 35472 37689 41478 45492 45818 50252 55304 60656 68727 75378 82956 90984 91636 100504 110608 117521 137454 150756 164797 165912 181968 183272 201008 235042 274908 301512 329594 331824 352563 366544 389453 470084 494391 549816 603024 659188 705126 778906 940168 988782 1099632 1168359 1318376 1410252 1557812 1880336 1977564 2336718 2636752 2801549 2820504 3115624 3955128 4673436 5108707 5603098 5641008 6231248 7910256 8404647 9346872 10217414 11206196 15326121 16809294 18693744 20434828 22412392 30652242 33618588 40869656 44824784 61304484 67237176 81739312 86848019 122608968 134474352 173696038 245217936 260544057 347392076 521088114 694784152 1042176228 1389568304 2084352456 4168704912