Search a number
-
+
10041499935 = 35517946171
BaseRepresentation
bin10010101101000010…
…10010000100011111
3221220210212001100000
421112201102010133
5131031110444220
64340224105343
7503560225005
oct112641220437
927823761300
1010041499935
11429318a585
121b42a65253
13c4048a94c
146b3886a75
153db859390
hex25685211f

10041499935 has 48 divisors (see below), whose sum is σ = 18151136640. Its totient is φ = 5325432480.

The previous prime is 10041499931. The next prime is 10041499969. The reversal of 10041499935 is 53999414001.

Together with 8109636704 it forms a betrothed pair.

It is not a de Polignac number, because 10041499935 - 22 = 10041499931 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041499931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194400 + ... + 240570.

It is an arithmetic number, because the mean of its divisors is an integer number (378148680).

Almost surely, 210041499935 is an apocalyptic number.

10041499935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10041499935 is a deficient number, since it is larger than the sum of its proper divisors (8109636705).

10041499935 is an equidigital number, since it uses as much as digits as its factorization.

10041499935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46370 (or 46358 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10041499935 in words is "ten billion, forty-one million, four hundred ninety-nine thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 179 243 405 537 895 1215 1611 2685 4833 8055 14499 24165 43497 46171 72495 138513 217485 230855 415539 692565 1246617 2077695 3739851 6233085 8264609 11219553 18699255 24793827 41323045 56097765 74381481 123969135 223144443 371907405 669433329 1115722215 2008299987 3347166645 10041499935