Search a number
-
+
161989632000 = 2133653731
BaseRepresentation
bin1001011011011101010…
…1011010000000000000
3120111010100001221000000
42112313111122000000
510123223321211000
6202230024000000
714463153103410
oct2266725320000
9514110057000
10161989632000
1162776a19129
122748a000000
1312377523a71
147ba9c70640
1543314a3000
hex25b755a000

161989632000 has 1568 divisors, whose sum is σ = 715118736384. Its totient is φ = 35831808000.

The previous prime is 161989631987. The next prime is 161989632019. The reversal of 161989632000 is 236989161.

It is a happy number.

161989632000 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 8 + 9 + 632 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5225471985 + ... + 5225472015.

Almost surely, 2161989632000 is an apocalyptic number.

161989632000 is a gapful number since it is divisible by the number (10) 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 161989632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357559368192).

161989632000 is an abundant number, since it is smaller than the sum of its proper divisors (553129104384).

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

161989632000 is an frugal number, since it uses more digits than its factorization.

161989632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 161989632000 in words is "one hundred sixty-one billion, nine hundred eighty-nine million, six hundred thirty-two thousand".