Search a number
-
+
10738106535 = 35131391972011
BaseRepresentation
bin10100000000000101…
…01000000010100111
31000201100122022221110
422000002220002213
5133442423402120
64533310520103
7530046254022
oct120002500247
930640568843
1010738106535
114610421412
1220b8206033
1310218ac5c0
1473c1ba1b9
1542caab2e0
hex2800a80a7

10738106535 has 64 divisors (see below), whose sum is σ = 18739607040. Its totient is φ = 5219182080.

The previous prime is 10738106503. The next prime is 10738106539. The reversal of 10738106535 is 53560183701.

It is a happy number.

It is not a de Polignac number, because 10738106535 - 25 = 10738106503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 10738106493 and 10738106502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10738106539) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5338680 + ... + 5340690.

It is an arithmetic number, because the mean of its divisors is an integer number (292806360).

Almost surely, 210738106535 is an apocalyptic number.

10738106535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10738106535 is a deficient number, since it is larger than the sum of its proper divisors (8001500505).

10738106535 is a wasteful number, since it uses less digits than its factorization.

10738106535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368.

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 10738106535 in words is "ten billion, seven hundred thirty-eight million, one hundred six thousand, five hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 139 195 197 417 591 695 985 1807 2011 2085 2561 2955 5421 6033 7683 9035 10055 12805 26143 27105 27383 30165 38415 78429 82149 130715 136915 279529 355979 392145 396167 410745 838587 1067937 1188501 1397645 1779895 1980835 3633877 4192935 5150171 5339685 5942505 10901631 15450513 18169385 25750855 54508155 55067213 77252565 165201639 275336065 715873769 826008195 2147621307 3579368845 10738106535