Search a number
-
+
4264053012 = 2232378935969
BaseRepresentation
bin1111111000101000…
…0100100100010100
3102000011120100002100
43332022010210110
532213044144022
61543041242100
7210444565302
oct37612044424
912004510070
104264053012
111898a4615a
129b0033330
1352c5446bb
142c644b272
1519e5331ac
hexfe284914

4264053012 has 72 divisors (see below), whose sum is σ = 11194583400. Its totient is φ = 1367359488.

The previous prime is 4264053011. The next prime is 4264053083. The reversal of 4264053012 is 2103504624.

4264053012 is a `hidden beast` number, since 4 + 2 + 640 + 5 + 3 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1832182416 + 2431870596 = 42804^2 + 49314^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264053011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100564 + ... + 136532.

It is an arithmetic number, because the mean of its divisors is an integer number (155480325).

Almost surely, 24264053012 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 4264053012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597291700).

4264053012 is an abundant number, since it is smaller than the sum of its proper divisors (6930530388).

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

4264053012 is a wasteful number, since it uses less digits than its factorization.

4264053012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36105 (or 36100 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4264053012 is about 65299.7167834593. The cubic root of 4264053012 is about 1621.5892816795.

Adding to 4264053012 its reverse (2103504624), we get a palindrome (6367557636).

The spelling of 4264053012 in words is "four billion, two hundred sixty-four million, fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9879 13172 19758 29637 35969 39516 59274 71938 107907 118548 143876 215814 323721 431628 647442 1294884 1330853 2661706 3201241 3992559 5323412 6402482 7985118 9603723 11977677 12804964 15970236 19207446 23955354 28811169 38414892 47910708 57622338 115244676 118445917 236891834 355337751 473783668 710675502 1066013253 1421351004 2132026506 4264053012