Search a number
-
+
16969172148 = 2232521904733
BaseRepresentation
bin11111100110111000…
…10000010010110100
31121210121111021001100
433303130100102310
5234223102002043
611443500130100
71140340404045
oct176334202264
947717437040
1016969172148
117218723215
123356b36930
1317a57bb686
14b6d9768cc
15694b37cd3
hex3f37104b4

16969172148 has 36 divisors (see below), whose sum is σ = 42976674468. Its totient is φ = 5645527680.

The previous prime is 16969172141. The next prime is 16969172167. The reversal of 16969172148 is 84127196961.

16969172148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1464439824 + 15504732324 = 38268^2 + 124518^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 16969172094 and 16969172103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16969172141) 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 11 ways as a sum of consecutive naturals, for example, 433611 + ... + 471122.

It is an arithmetic number, because the mean of its divisors is an integer number (1193796513).

Almost surely, 216969172148 is an apocalyptic number.

16969172148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16969172148 is an abundant number, since it is smaller than the sum of its proper divisors (26007502320).

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

16969172148 is a wasteful number, since it uses less digits than its factorization.

16969172148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905264 (or 905259 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 16969172148 in words is "sixteen billion, nine hundred sixty-nine million, one hundred seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 18756 904733 1809466 2714199 3618932 5428398 8142597 10856796 16285194 32570388 471365893 942731786 1414097679 1885463572 2828195358 4242293037 5656390716 8484586074 16969172148