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10105772382 = 234113552047
BaseRepresentation
bin10010110100101100…
…11101100101011110
3222002021210102120000
421122112131211132
5131144034204012
64350441435130
7505300435146
oct113226354536
928067712500
1010105772382
114316499402
121b6049baa6
13c508a2494
146bc217926
153e2302ddc
hex25a59d95e

10105772382 has 40 divisors (see below), whose sum is σ = 22844850336. Its totient is φ = 3338774208.

The previous prime is 10105772333. The next prime is 10105772393. The reversal of 10105772382 is 28327750101.

10105772382 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 577 + 2 + 3 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 257718 + ... + 294329.

Almost surely, 210105772382 is an apocalyptic number.

10105772382 is an abundant number, since it is smaller than the sum of its proper divisors (12739077954).

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

10105772382 is a wasteful number, since it uses less digits than its factorization.

10105772382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552174 (or 552165 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10105772382 in words is "ten billion, one hundred five million, seven hundred seventy-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 9153 18306 552047 1104094 1656141 3312282 4968423 9936846 14905269 29810538 44715807 62381311 89431614 124762622 187143933 374287866 561431799 1122863598 1684295397 3368590794 5052886191 10105772382