Search a number
-
+
10154880000 = 21032544143
BaseRepresentation
bin10010111010100011…
…10010110000000000
3222012201012100112200
421131101302300000
5131244122130000
64355354153200
7506435025066
oct113521626000
928181170480
1010154880000
11434118a711
121b74a22800
13c5ab07645
146c495c036
153e67a3500
hex25d472c00

10154880000 has 660 divisors, whose sum is σ = 38407336968. Its totient is φ = 2580480000.

The previous prime is 10154879893. The next prime is 10154880007. The reversal of 10154880000 is 8845101.

It is not an unprimeable number, because it can be changed into a prime (10154880007) 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 59 ways as a sum of consecutive naturals, for example, 236159979 + ... + 236160021.

Almost surely, 210154880000 is an apocalyptic number.

10154880000 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 10154880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203668484).

10154880000 is an abundant number, since it is smaller than the sum of its proper divisors (28252456968).

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

10154880000 is an equidigital number, since it uses as much as digits as its factorization.

10154880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10154880000 in words is "ten billion, one hundred fifty-four million, eight hundred eighty thousand".