Search a number
-
+
161788629531672 = 23331121313927112641
BaseRepresentation
bin100100110010010101011001…
…110010101011110000011000
3210012211211201202201120111000
4210302111121302223300120
5132201221103130003142
61332032400443305000
746035562030352433
oct4462253162536030
9705754652646430
10161788629531672
1147607199605800
121618b87881b160
136c377aa340460
142bd487bb6c81a
1513a8760a5d14c
hex932559cabc18

161788629531672 has 768 divisors, whose sum is σ = 537828302592000. Its totient is φ = 44760646656000.

The previous prime is 161788629531647. The next prime is 161788629531713. The reversal of 161788629531672 is 276135926887161.

161788629531672 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 8 + 8 + 6 + 29 + 531 + 67 + 2 = 666.

It is a super-2 number, since 2×1617886295316722 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161788629531672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12798714472 + ... + 12798727112.

It is an arithmetic number, because the mean of its divisors is an integer number (700297269000).

Almost surely, 2161788629531672 is an apocalyptic number.

161788629531672 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 161788629531672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268914151296000).

161788629531672 is an abundant number, since it is smaller than the sum of its proper divisors (376039673060328).

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

161788629531672 is a wasteful number, since it uses less digits than its factorization.

161788629531672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101 (or 13080 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 161788629531672 in words is "one hundred sixty-one trillion, seven hundred eighty-eight billion, six hundred twenty-nine million, five hundred thirty-one thousand, six hundred seventy-two".