Search a number
-
+
7052666368 = 29112921489
BaseRepresentation
bin1101001000101111…
…10010011000000000
3200012111211120110111
412210113302120000
5103420440310433
63123455041104
7336525450346
oct64427623000
920174746414
107052666368
112a9a0566a0
121449b10194
138851b5b87
144ac949996
152b426ddcd
hex1a45f2600

7052666368 has 120 divisors (see below), whose sum is σ = 15931670040. Its totient is φ = 3093135360.

The previous prime is 7052666363. The next prime is 7052666399. The reversal of 7052666368 is 8636662507.

It is a super-2 number, since 2×70526663682 = 99480205796636622848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7052666363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4735768 + ... + 4737256.

It is an arithmetic number, because the mean of its divisors is an integer number (132763917).

Almost surely, 27052666368 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 7052666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965835020).

7052666368 is an abundant number, since it is smaller than the sum of its proper divisors (8879003672).

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

7052666368 is a wasteful number, since it uses less digits than its factorization.

7052666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The square root of 7052666368 is about 83980.1546080977. The cubic root of 7052666368 is about 1917.7166838429.

The spelling of 7052666368 in words is "seven billion, fifty-two million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 841 928 1276 1408 1489 1682 1856 2552 2816 2978 3364 3712 5104 5632 5956 6728 7424 9251 10208 11912 13456 14848 16379 18502 20416 23824 26912 32758 37004 40832 43181 47648 53824 65516 74008 81664 86362 95296 107648 131032 148016 163328 172724 190592 215296 262064 296032 345448 381184 430592 474991 524128 592064 690896 762368 949982 1048256 1184128 1252249 1381792 1899964 2096512 2368256 2504498 2763584 3799928 4193024 4736512 5008996 5527168 7599856 8386048 10017992 11054336 13774739 15199712 20035984 22108672 27549478 30399424 40071968 55098956 60798848 80143936 110197912 121597696 160287872 220395824 243195392 320575744 440791648 641151488 881583296 1763166592 3526333184 7052666368