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10268591432 = 2311232572
BaseRepresentation
bin10011001000000111…
…00100010101001000
3222111122011111022012
421210003210111020
5132012224411212
64414535315052
7512315405231
oct114403442510
928448144265
1010268591432
11439a396800
121ba6b1ba88
13c7853c108
146d5abc088
15401765922
hex2640e4548

10268591432 has 36 divisors (see below), whose sum is σ = 21169557465. Its totient is φ = 4666108480.

The previous prime is 10268591419. The next prime is 10268591471. The reversal of 10268591432 is 23419586201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8729912356 + 1538679076 = 93434^2 + 39226^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71654.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10268591432.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3151148 + ... + 3154404.

Almost surely, 210268591432 is an apocalyptic number.

It is an amenable number.

10268591432 is an abundant number, since it is smaller than the sum of its proper divisors (10900966033).

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

10268591432 is an frugal number, since it uses more digits than its factorization.

10268591432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 10268591432 in words is "ten billion, two hundred sixty-eight million, five hundred ninety-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 3257 6514 13028 26056 35827 71654 143308 286616 394097 788194 1576388 3152776 10608049 21216098 42432196 84864392 116688539 233377078 466754156 933508312 1283573929 2567147858 5134295716 10268591432