Search a number
-
+
10055006739 = 331919600403
BaseRepresentation
bin10010101110101001…
…10011101000010011
3221221202021021012000
421113110303220103
5131043040203424
64341425405043
7504113101311
oct112724635023
927852237160
1010055006739
11429a875428
121b47499783
13c4320973b
146b55a10b1
153dcb263c9
hex257533a13

10055006739 has 16 divisors (see below), whose sum is σ = 15680323200. Its totient is φ = 6350530248.

The previous prime is 10055006729. The next prime is 10055006789. The reversal of 10055006739 is 93760055001.

It is a happy number.

10055006739 is a `hidden beast` number, since 10 + 0 + 550 + 0 + 67 + 39 = 666.

10055006739 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10055006739 is a prime.

It is a super-2 number, since 2×100550067392 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (10055006729) 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 15 ways as a sum of consecutive naturals, for example, 9799689 + ... + 9800714.

It is an arithmetic number, because the mean of its divisors is an integer number (980020200).

Almost surely, 210055006739 is an apocalyptic number.

10055006739 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10055006739 is a deficient number, since it is larger than the sum of its proper divisors (5625316461).

10055006739 is a wasteful number, since it uses less digits than its factorization.

10055006739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19600431 (or 19600425 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 10055006739 in words is "ten billion, fifty-five million, six thousand, seven hundred thirty-nine".

Divisors: 1 3 9 19 27 57 171 513 19600403 58801209 176403627 372407657 529210881 1117222971 3351668913 10055006739