Search a number
-
+
10520870448 = 2431197120521
BaseRepresentation
bin10011100110001011…
…11011111000110000
31000011012212121001110
421303011323320300
5133021320323243
64455550433320
7521500631454
oct116305737060
930135777043
1010520870448
114509836760
122057502840
13cb889bc3a
1471b3cc664
15418999e33
hex27317be30

10520870448 has 80 divisors (see below), whose sum is σ = 29681707392. Its totient is φ = 3184704000.

The previous prime is 10520870447. The next prime is 10520870453. The reversal of 10520870448 is 84407802501.

It is a happy number.

It is a super-2 number, since 2×105208704482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10520870441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502428 + ... + 522948.

Almost surely, 210520870448 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 10520870448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840853696).

10520870448 is an abundant number, since it is smaller than the sum of its proper divisors (19160836944).

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

10520870448 is a wasteful number, since it uses less digits than its factorization.

10520870448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21514 (or 21508 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 10520870448 in words is "ten billion, five hundred twenty million, eight hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 971 1942 2913 3884 5826 7768 10681 11652 15536 20521 21362 23304 32043 41042 42724 46608 61563 64086 82084 85448 123126 128172 164168 170896 225731 246252 256344 328336 451462 492504 512688 677193 902924 985008 1354386 1805848 2708772 3611696 5417544 10835088 19925891 39851782 59777673 79703564 119555346 159407128 219184801 239110692 318814256 438369602 478221384 657554403 876739204 956442768 1315108806 1753478408 2630217612 3506956816 5260435224 10520870448