Search a number
-
+
169696985472 = 2735717192127
BaseRepresentation
bin1001111000001010111…
…0101000000110000000
3121020000110211001100000
42132002232220012000
510240014412013342
6205542511200000
715155151401610
oct2360256500600
9536013731300
10169696985472
1165a71584943
1228a7b216000
1313005242151
1482db71aa40
154632e4344c
hex2782ba8180

169696985472 has 1152 divisors, whose sum is σ = 651836989440. Its totient is φ = 42890674176.

The previous prime is 169696985443. The next prime is 169696985531. The reversal of 169696985472 is 274589696961.

169696985472 is a `hidden beast` number, since 1 + 6 + 9 + 69 + 6 + 98 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 169696985472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1336196673 + ... + 1336196799.

It is an arithmetic number, because the mean of its divisors is an integer number (565830720).

Almost surely, 2169696985472 is an apocalyptic number.

169696985472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169696985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325918494720).

169696985472 is an abundant number, since it is smaller than the sum of its proper divisors (482140003968).

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

169696985472 is a wasteful number, since it uses less digits than its factorization.

169696985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 175 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 169696985472 in words is "one hundred sixty-nine billion, six hundred ninety-six million, nine hundred eighty-five thousand, four hundred seventy-two".