Search a number
-
+
10172678940 = 22325121346591
BaseRepresentation
bin10010111100101011…
…01100001100011100
3222020221200122002200
421132111230030130
5131313201211230
64401231451500
7510042226044
oct113625541434
928227618080
1010172678940
114350237286
121b7a986b90
13c616c9c68
146c7072724
153e811c160
hex25e56c31c

10172678940 has 72 divisors (see below), whose sum is σ = 30883227648. Its totient is φ = 2710419840.

The previous prime is 10172678921. The next prime is 10172678959. The reversal of 10172678940 is 4987627101.

It is a happy number.

10172678940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10172678921) and next prime (10172678959).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 195045 + ... + 241635.

Almost surely, 210172678940 is an apocalyptic number.

10172678940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10172678940 is an abundant number, since it is smaller than the sum of its proper divisors (20710548708).

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

10172678940 is a wasteful number, since it uses less digits than its factorization.

10172678940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47819 (or 47814 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10172678940 in words is "ten billion, one hundred seventy-two million, six hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1213 2426 3639 4852 6065 7278 10917 12130 14556 18195 21834 24260 36390 43668 46591 54585 72780 93182 109170 139773 186364 218340 232955 279546 419319 465910 559092 698865 838638 931820 1397730 1677276 2096595 2795460 4193190 8386380 56514883 113029766 169544649 226059532 282574415 339089298 508633947 565148830 678178596 847723245 1017267894 1130297660 1695446490 2034535788 2543169735 3390892980 5086339470 10172678940