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10233455752 = 23132412811453
BaseRepresentation
bin10011000011111011…
…00010010010001000
3222102012001102012201
421201331202102020
5131424231041002
64411242245544
7511410636652
oct114175422210
928365042181
1010233455752
114381578853
121b971b68b4
13c71189680
146d11736d2
153ed625087
hex261f62488

10233455752 has 64 divisors (see below), whose sum is σ = 20837622960. Its totient is φ = 4683571200.

The previous prime is 10233455741. The next prime is 10233455753. The reversal of 10233455752 is 25755433201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8338246596 + 1895209156 = 91314^2 + 43534^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10233455753) 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, 7042258 + ... + 7043710.

Almost surely, 210233455752 is an apocalyptic number.

It is an amenable number.

10233455752 is an abundant number, since it is smaller than the sum of its proper divisors (10604167208).

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

10233455752 is a wasteful number, since it uses less digits than its factorization.

10233455752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

Adding to 10233455752 its reverse (25755433201), we get a palindrome (35988888953).

The spelling of 10233455752 in words is "ten billion, two hundred thirty-three million, four hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 241 281 482 562 964 1124 1453 1928 2248 2906 3133 3653 5812 6266 7306 11624 12532 14612 18889 25064 29224 37778 67721 75556 135442 151112 270884 350173 408293 541768 700346 816586 880373 1400692 1633172 1760746 2801384 3266344 3521492 4552249 5307809 7042984 9104498 10615618 18208996 21231236 36417992 42462472 98398613 196797226 393594452 787188904 1279181969 2558363938 5116727876 10233455752