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125550673920 = 21435571753
BaseRepresentation
bin111010011101101100…
…1110100000000000000
3110000001211202001200000
41310323121310000000
54024111433031140
6133402134400000
712033156056130
oct1647331640000
9400054661600
10125550673920
114927809a641
12203ba800000
13babb1610c9
1461105d0ac0
1533ec434a30
hex1d3b674000

125550673920 has 1440 divisors, whose sum is σ = 556474883328. Its totient is φ = 26499612672.

The previous prime is 125550673813. The next prime is 125550673939. The reversal of 125550673920 is 29376055521.

125550673920 is a `hidden beast` number, since 1 + 2 + 5 + 550 + 6 + 7 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2368880614 + ... + 2368880666.

Almost surely, 2125550673920 is an apocalyptic number.

125550673920 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 125550673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278237441664).

125550673920 is an abundant number, since it is smaller than the sum of its proper divisors (430924209408).

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

125550673920 is an frugal number, since it uses more digits than its factorization.

125550673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 125550673920 in words is "one hundred twenty-five billion, five hundred fifty million, six hundred seventy-three thousand, nine hundred twenty".