Search a number
-
+
125412154560 = 263257116173127
BaseRepresentation
bin111010011001100100…
…1011001110011000000
3102222201012002112211100
41310303021121303000
54023321002421220
6133340305414400
712026554503450
oct1646311316300
9388635075740
10125412154560
1149206989a30
122038033a400
13ba985519a4
1460da053d60
1533e01c1d90
hex1d33259cc0

125412154560 has 1344 divisors, whose sum is σ = 558473969664. Its totient is φ = 25082265600.

The previous prime is 125412154529. The next prime is 125412154561. The reversal of 125412154560 is 65451214521.

125412154560 is a `hidden beast` number, since 1 + 2 + 5 + 41 + 2 + 1 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1254121545602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125412154561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 987497217 + ... + 987497343.

Almost surely, 2125412154560 is an apocalyptic number.

125412154560 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 125412154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236984832).

125412154560 is an abundant number, since it is smaller than the sum of its proper divisors (433061815104).

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

125412154560 is a wasteful number, since it uses less digits than its factorization.

125412154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 125412 and 154560, that added together give a palindrome (279972).

The spelling of 125412154560 in words is "one hundred twenty-five billion, four hundred twelve million, one hundred fifty-four thousand, five hundred sixty".