Search a number
-
+
154381185792 = 283319101103113
BaseRepresentation
bin1000111111000111010…
…1011111001100000000
3112202111002102210221000
42033301311133030000
510012133040421132
6154531032332000
714103465266451
oct2176165371400
9482432383830
10154381185792
115a522177959
1225b05b44000
13117341559a2
1476875ad128
15403854d87c
hex23f1d5f300

154381185792 has 576 divisors, whose sum is σ = 494366745600. Its totient is φ = 47377612800.

The previous prime is 154381185769. The next prime is 154381185793. The reversal of 154381185792 is 297581183451.

154381185792 is a `hidden beast` number, since 1 + 5 + 438 + 118 + 5 + 7 + 92 = 666.

154381185792 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (154381185793) 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 63 ways as a sum of consecutive naturals, for example, 1366205128 + ... + 1366205240.

It is an arithmetic number, because the mean of its divisors is an integer number (858275600).

Almost surely, 2154381185792 is an apocalyptic number.

154381185792 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 154381185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247183372800).

154381185792 is an abundant number, since it is smaller than the sum of its proper divisors (339985559808).

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

154381185792 is a wasteful number, since it uses less digits than its factorization.

154381185792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 154381185792 in words is "one hundred fifty-four billion, three hundred eighty-one million, one hundred eighty-five thousand, seven hundred ninety-two".