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10055050506 = 234313198301
BaseRepresentation
bin10010101110101001…
…11110010100001010
3221221202100111020000
421113110332110022
5131043043104011
64341430343430
7504113343024
oct112724762412
927852314200
1010055050506
11429a8a52a6
121b474bab76
13c43223637
146b55b3014
153dcb34356
hex25753e50a

10055050506 has 40 divisors (see below), whose sum is σ = 22602858564. Its totient is φ = 3340958400.

The previous prime is 10055050501. The next prime is 10055050513. The reversal of 10055050506 is 60505055001.

10055050506 is a `hidden beast` number, since 10 + 0 + 550 + 50 + 50 + 6 = 666.

10055050506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5919917481 + 4135133025 = 76941^2 + 64305^2 .

It is a super-2 number, since 2×100550505062 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10055050506.

It is not an unprimeable number, because it can be changed into a prime (10055050501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48445 + ... + 149856.

Almost surely, 210055050506 is an apocalyptic number.

10055050506 is an abundant number, since it is smaller than the sum of its proper divisors (12547808058).

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

10055050506 is a wasteful number, since it uses less digits than its factorization.

10055050506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198628 (or 198619 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10055050506 in words is "ten billion, fifty-five million, fifty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 626 939 1878 2817 5634 8451 16902 25353 50706 198301 396602 594903 1189806 1784709 3569418 5354127 10708254 16062381 32124762 62068213 124136426 186204639 372409278 558613917 1117227834 1675841751 3351683502 5027525253 10055050506