Search a number
-
+
10427939235 = 3257162720347
BaseRepresentation
bin10011011011000110…
…11011100110100011
3222220202000012101200
421231203123212203
5132324023023420
64442430532243
7516262010130
oct115543334643
928822005350
1010427939235
1144713330aa
122030367083
13ca2561a5c
1470cd1b587
1541073eb90
hex26d8db9a3

10427939235 has 48 divisors (see below), whose sum is σ = 20670963456. Its totient is φ = 4763893824.

The previous prime is 10427939231. The next prime is 10427939239. The reversal of 10427939235 is 53293972401.

It is an interprime number because it is at equal distance from previous prime (10427939231) and next prime (10427939239).

It is not a de Polignac number, because 10427939235 - 22 = 10427939231 is a prime.

It is a super-3 number, since 3×104279392353 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10427939231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 502332 + ... + 522678.

It is an arithmetic number, because the mean of its divisors is an integer number (430645072).

Almost surely, 210427939235 is an apocalyptic number.

10427939235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10427939235 is a deficient number, since it is larger than the sum of its proper divisors (10243024221).

10427939235 is a wasteful number, since it uses less digits than its factorization.

10427939235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21992 (or 21989 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10427939235 in words is "ten billion, four hundred twenty-seven million, nine hundred thirty-nine thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1627 4881 8135 11389 14643 20347 24405 34167 56945 61041 73215 101735 102501 142429 170835 183123 305205 427287 512505 712145 915615 1281861 2136435 6409305 33104569 99313707 165522845 231731983 297941121 496568535 695195949 1158659915 1489705605 2085587847 3475979745 10427939235