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10330451264 = 26725416089
BaseRepresentation
bin10011001111011111…
…00010110101000000
3222122221120022001002
421213233202311000
5132124043420024
64425025231132
7513666246500
oct114757426500
928587508032
1010330451264
1144212a7a31
1220037924a8
13c882ba773
146dddc1a00
15406dd46ae
hex267be2d40

10330451264 has 84 divisors (see below), whose sum is σ = 23894346420. Its totient is φ = 4418426880.

The previous prime is 10330451239. The next prime is 10330451267. The reversal of 10330451264 is 46215403301.

10330451264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3180057664 + 7150393600 = 56392^2 + 84560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330451267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1693532 + ... + 1699620.

It is an arithmetic number, because the mean of its divisors is an integer number (284456505).

Almost surely, 210330451264 is an apocalyptic number.

10330451264 is a gapful number since it is divisible by the number (14) 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 10330451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947173210).

10330451264 is an abundant number, since it is smaller than the sum of its proper divisors (13563895156).

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

10330451264 is an equidigital number, since it uses as much as digits as its factorization.

10330451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 10330451264 its reverse (46215403301), we get a palindrome (56545854565).

The spelling of 10330451264 in words is "ten billion, three hundred thirty million, four hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 541 784 1082 1568 2164 3136 3787 4328 6089 7574 8656 12178 15148 17312 24356 26509 30296 34624 42623 48712 53018 60592 85246 97424 106036 121184 170492 194848 212072 242368 298361 340984 389696 424144 596722 681968 848288 1193444 1363936 1696576 2386888 2727872 3294149 4773776 6588298 9547552 13176596 19095104 23059043 26353192 46118086 52706384 92236172 105412768 161413301 184472344 210825536 322826602 368944688 645653204 737889376 1291306408 1475778752 2582612816 5165225632 10330451264