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10672845248 = 261313739343
BaseRepresentation
bin10011111000010011…
…01011000111000000
31000112210211201021202
421330021223013000
5133324222021443
64523020040332
7525324454622
oct117411530700
930483751252
1010672845248
1145875a766a
12209a3930a8
13101120c960
1473366cc12
15426eb97b8
hex27c26b1c0

10672845248 has 56 divisors (see below), whose sum is σ = 22827130368. Its totient is φ = 4921814016.

The previous prime is 10672845247. The next prime is 10672845277. The reversal of 10672845248 is 84254827601.

It is a super-2 number, since 2×106728452482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672845247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137665 + ... + 1147007.

It is an arithmetic number, because the mean of its divisors is an integer number (407627328).

Almost surely, 210672845248 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 10672845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413565184).

10672845248 is an abundant number, since it is smaller than the sum of its proper divisors (12154285120).

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

10672845248 is a wasteful number, since it uses less digits than its factorization.

10672845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 10672845248 in words is "ten billion, six hundred seventy-two million, eight hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1373 2746 5492 9343 10984 17849 18686 21968 35698 37372 43936 71396 74744 87872 121459 142792 149488 242918 285584 298976 485836 571168 597952 971672 1142336 1943344 3886688 7773376 12827939 25655878 51311756 102623512 166763207 205247024 333526414 410494048 667052828 820988096 1334105656 2668211312 5336422624 10672845248