Search a number
-
+
7066046464 = 21217101477
BaseRepresentation
bin1101001010010101…
…10101000000000000
3200020110000100111121
412211022311000000
5103432401441324
63125053522024
7340050255361
oct64512650000
920213010447
107066046464
112aa6665324
1214524a3314
13887bbc0a9
144b062db68
152b55135e4
hex1a52b5000

7066046464 has 52 divisors (see below), whose sum is σ = 14961713364. Its totient is φ = 3325165568.

The previous prime is 7066046459. The next prime is 7066046467. The reversal of 7066046464 is 4646406607.

It can be written as a sum of positive squares in 2 ways, for example, as 4278206464 + 2787840000 = 65408^2 + 52800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7066046464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066046467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18894 + ... + 120370.

It is an arithmetic number, because the mean of its divisors is an integer number (287725257).

Almost surely, 27066046464 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 7066046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480856682).

7066046464 is an abundant number, since it is smaller than the sum of its proper divisors (7895666900).

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

7066046464 is a wasteful number, since it uses less digits than its factorization.

7066046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101518 (or 101496 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The square root of 7066046464 is about 84059.7791098692. The cubic root of 7066046464 is about 1918.9286615756.

The spelling of 7066046464 in words is "seven billion, sixty-six million, forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 69632 101477 202954 405908 811816 1623632 1725109 3247264 3450218 6494528 6900436 12989056 13800872 25978112 27601744 51956224 55203488 103912448 110406976 207824896 220813952 415649792 441627904 883255808 1766511616 3533023232 7066046464