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125423534407680 = 216325236130313
BaseRepresentation
bin11100100001001001110001…
…001101110000000000000000
3121110002101001202121022110100
4130201021301031300000000
5112414414344302021210
61122430435401402400
735263360051050645
oct3441116115600000
9543071052538410
10125423534407680
1136a6690542a973
1212097b07a99400
1354ca50882c792
1422d8762457dcc
15e778499435c0
hex721271370000

125423534407680 has 816 divisors, whose sum is σ = 461155500426816. Its totient is φ = 31466591354880.

The previous prime is 125423534407679. The next prime is 125423534407729. The reversal of 125423534407680 is 86704435324521.

125423534407680 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 3 + 53 + 440 + 76 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4137600204 + ... + 4137630516.

Almost surely, 2125423534407680 is an apocalyptic number.

125423534407680 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 125423534407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230577750213408).

125423534407680 is an abundant number, since it is smaller than the sum of its proper divisors (335731966019136).

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

125423534407680 is an equidigital number, since it uses as much as digits as its factorization.

125423534407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30440 (or 30407 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 125423534407680 in words is "one hundred twenty-five trillion, four hundred twenty-three billion, five hundred thirty-four million, four hundred seven thousand, six hundred eighty".