Search a number
-
+
161594131776 = 26372111982183
BaseRepresentation
bin1001011001111111000…
…0101100010101000000
3120110002202212102200120
42112133300230111000
510121421044204101
6202122455020240
714450311312500
oct2263760542500
9513082772616
10161594131776
1162593746a40
122739966a680
13123135c966c
147b6d51ba00
15430b8ccb36
hex259fc2c540

161594131776 has 336 divisors, whose sum is σ = 571132776960. Its totient is φ = 39762938880.

The previous prime is 161594131711. The next prime is 161594131793. The reversal of 161594131776 is 677131495161.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1615941317762 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1925181 + ... + 2007363.

Almost surely, 2161594131776 is an apocalyptic number.

161594131776 is a gapful number since it is divisible by the number (16) 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 161594131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285566388480).

161594131776 is an abundant number, since it is smaller than the sum of its proper divisors (409538645184).

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

161594131776 is a wasteful number, since it uses less digits than its factorization.

161594131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82242 (or 82225 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The spelling of 161594131776 in words is "one hundred sixty-one billion, five hundred ninety-four million, one hundred thirty-one thousand, seven hundred seventy-six".