Search a number
-
+
161478539203968 = 2733729733152987
BaseRepresentation
bin100100101101110100100110…
…111101111101010110000000
3210011202012100001001210022000
4210231310212331331112000
5132131131022014011333
61331234114455344000
746004303510146050
oct4455644675752600
9704665301053260
10161478539203968
11474a77337099a8
121613b758082000
136c1448cbb924c
142bc38628b3560
1513a06625ec713
hex92dd26f7d580

161478539203968 has 512 divisors, whose sum is σ = 571170082176000. Its totient is φ = 43935573491712.

The previous prime is 161478539203967. The next prime is 161478539204039. The reversal of 161478539203968 is 869302935874161.

161478539203968 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 7 + 8 + 539 + 20 + 3 + 9 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 161478539203896 and 161478539203905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161478539203967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49637971 + ... + 52790957.

It is an arithmetic number, because the mean of its divisors is an integer number (1115566566750).

It is a 1-persistent number, because it is pandigital, but 2⋅161478539203968 = 322957078407936 is not.

Almost surely, 2161478539203968 is an apocalyptic number.

161478539203968 is a gapful number since it is divisible by the number (18) 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 161478539203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285585041088000).

161478539203968 is an abundant number, since it is smaller than the sum of its proper divisors (409691542972032).

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

161478539203968 is a wasteful number, since it uses less digits than its factorization.

161478539203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153119 (or 3153101 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 161478539203968 in words is "one hundred sixty-one trillion, four hundred seventy-eight billion, five hundred thirty-nine million, two hundred three thousand, nine hundred sixty-eight".