Search a number
-
+
165989161102848 = 2931924735318043
BaseRepresentation
bin100101101111011101011100…
…111110111110111000000000
3210202201102001000221120110220
4211233131130332332320000
5133224031300220242343
61345010211245023040
746651215102531006
oct4557353476767000
9722642030846426
10165989161102848
1148986676128896
121674998a254a80
1371809316152c5
142cdbcbda02a76
15142cb5b990183
hex96f75cfbee00

165989161102848 has 480 divisors, whose sum is σ = 478011030621696. Its totient is φ = 51154193350656.

The previous prime is 165989161102841. The next prime is 165989161102879. The reversal of 165989161102848 is 848201161989561.

It is a super-2 number, since 2×1659891611028482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165989161102841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9199634115 + ... + 9199652157.

Almost surely, 2165989161102848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165989161102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239005515310848).

165989161102848 is an abundant number, since it is smaller than the sum of its proper divisors (312021869518848).

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

165989161102848 is a wasteful number, since it uses less digits than its factorization.

165989161102848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18502 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 69.

The spelling of 165989161102848 in words is "one hundred sixty-five trillion, nine hundred eighty-nine billion, one hundred sixty-one million, one hundred two thousand, eight hundred forty-eight".