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10580953428 = 2233113867007
BaseRepresentation
bin10011101101010110…
…01000100101010100
31000022101221010102000
421312223020211110
5133132211002203
64505534315300
7523130422503
oct116653104524
930271833360
1010580953428
11453a743a11
122073658b30
13cc81778b6
1472538c83a
1541ddb74a3
hex276ac8954

10580953428 has 48 divisors (see below), whose sum is σ = 27674895360. Its totient is φ = 3495768192.

The previous prime is 10580953399. The next prime is 10580953429. The reversal of 10580953428 is 82435908501.

10580953428 is a `hidden beast` number, since 10 + 5 + 80 + 9 + 534 + 28 = 666.

It is a super-2 number, since 2×105809534282 (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 (10580953429) 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, 421300 + ... + 445707.

It is an arithmetic number, because the mean of its divisors is an integer number (576560320).

Almost surely, 210580953428 is an apocalyptic number.

10580953428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10580953428 is an abundant number, since it is smaller than the sum of its proper divisors (17093941932).

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

10580953428 is a wasteful number, since it uses less digits than its factorization.

10580953428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867133 (or 867125 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10580953428 in words is "ten billion, five hundred eighty million, nine hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 867007 1734014 2601021 3468028 5202042 7803063 10404084 15606126 23409189 31212252 46818378 93636756 97971791 195943582 293915373 391887164 587830746 881746119 1175661492 1763492238 2645238357 3526984476 5290476714 10580953428