Search a number
-
+
154448531091456 = 2123710732295197
BaseRepresentation
bin100011000111100001011001…
…110101001111000000000000
3202020212010122200112202021020
4203013201121311033000000
5130220441042424411311
61304252401540025440
744350352403141210
oct4307413165170000
9666763580482236
10154448531091456
1145237288377578
12153a51b0692280
136824584618134
142a1d4c5120240
1512cc862720c06
hex8c7859d4f000

154448531091456 has 416 divisors, whose sum is σ = 475279910115840. Its totient is φ = 43693791510528.

The previous prime is 154448531091419. The next prime is 154448531091457. The reversal of 154448531091456 is 654190135844451.

It is a self number, because there is not a number n which added to its sum of digits gives 154448531091456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154448531091457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29718783450 + ... + 29718788646.

Almost surely, 2154448531091456 is an apocalyptic number.

154448531091456 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 154448531091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237639955057920).

154448531091456 is an abundant number, since it is smaller than the sum of its proper divisors (320831379024384).

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

154448531091456 is a wasteful number, since it uses less digits than its factorization.

154448531091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 154448531091456 in words is "one hundred fifty-four trillion, four hundred forty-eight billion, five hundred thirty-one million, ninety-one thousand, four hundred fifty-six".