Search a number
-
+
154049658880 = 2145131767127
BaseRepresentation
bin1000111101111000010…
…0110100000000000000
3112201121222121111111111
42033132010310000000
510010443203041010
6154434110453104
714062331331625
oct2173604640000
9481558544444
10154049658880
115a37201a877
1225a32b04194
13116b0569c10
14765555034c
1540193b358a
hex23de134000

154049658880 has 480 divisors, whose sum is σ = 431228399616. Its totient is φ = 52319748096.

The previous prime is 154049658871. The next prime is 154049658883. The reversal of 154049658880 is 88856940451.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154049658883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212989377 + ... + 1212989503.

Almost surely, 2154049658880 is an apocalyptic number.

154049658880 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 154049658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215614199808).

154049658880 is an abundant number, since it is smaller than the sum of its proper divisors (277178740736).

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

154049658880 is a wasteful number, since it uses less digits than its factorization.

154049658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 154049658880 in words is "one hundred fifty-four billion, forty-nine million, six hundred fifty-eight thousand, eight hundred eighty".