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125019400000 = 26551156827
BaseRepresentation
bin111010001101110111…
…1001010011101000000
3102221200211001112212011
41310123233022131000
54022014431300000
6133233315342304
712014045236435
oct1643357123500
9387624045764
10125019400000
1149025212690
12202908b1994
13ba35079241
14609dc17b8c
1533ba9902ba
hex1d1bbca740

125019400000 has 168 divisors, whose sum is σ = 338282536032. Its totient is φ = 45460800000.

The previous prime is 125019399983. The next prime is 125019400003. The reversal of 125019400000 is 4910521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125019400003) 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 23 ways as a sum of consecutive naturals, for example, 2171587 + ... + 2228413.

It is an arithmetic number, because the mean of its divisors is an integer number (2013586524).

Almost surely, 2125019400000 is an apocalyptic number.

125019400000 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 125019400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169141268016).

125019400000 is an abundant number, since it is smaller than the sum of its proper divisors (213263136032).

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

125019400000 is an frugal number, since it uses more digits than its factorization.

125019400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56875 (or 56845 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 125019400000 in words is "one hundred twenty-five billion, nineteen million, four hundred thousand".