Search a number
-
+
4062066372 = 22327136120327
BaseRepresentation
bin1111001000011110…
…0011011011000100
3101111002111100111200
43302013203123010
531304342110442
61511024102500
7202442665050
oct36207433304
911432440450
104062066372
1117a4a26651
12954464a30
134c9743090
142a76acc60
1518b93534c
hexf21e36c4

4062066372 has 144 divisors (see below), whose sum is σ = 12845344512. Its totient is φ = 1053699840.

The previous prime is 4062066367. The next prime is 4062066383. The reversal of 4062066372 is 2736602604.

It is a happy number.

4062066372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189673 + ... + 209999.

Almost surely, 24062066372 is an apocalyptic number.

4062066372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4062066372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422672256).

4062066372 is an abundant number, since it is smaller than the sum of its proper divisors (8783278140).

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

4062066372 is a wasteful number, since it uses less digits than its factorization.

4062066372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20418 (or 20413 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4062066372 is about 63734.3421712345. The cubic root of 4062066372 is about 1595.5693007447.

Adding to 4062066372 its reverse (2736602604), we get a palindrome (6798668976).

The spelling of 4062066372 in words is "four billion, sixty-two million, sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 61 63 78 84 91 117 122 126 156 182 183 234 244 252 273 364 366 427 468 546 549 732 793 819 854 1092 1098 1281 1586 1638 1708 2196 2379 2562 3172 3276 3843 4758 5124 5551 7137 7686 9516 11102 14274 15372 16653 20327 22204 28548 33306 40654 49959 60981 66612 81308 99918 121962 142289 182943 199836 243924 264251 284578 365886 426867 528502 569156 731772 792753 853734 1057004 1239947 1280601 1585506 1707468 1849757 2378259 2479894 2561202 3171012 3699514 3719841 4756518 4959788 5122404 5549271 7399028 7439682 8679629 9513036 11098542 11159523 14879364 16119311 16647813 17359258 22197084 22319046 26038887 32238622 33295626 34718516 44638092 48357933 52077774 64477244 66591252 78116661 96715866 104155548 112835177 145073799 156233322 193431732 225670354 290147598 312466644 338505531 451340708 580295196 677011062 1015516593 1354022124 2031033186 4062066372