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128425524480 = 28325117313883
BaseRepresentation
bin111011110011011000…
…0011111110100000000
3110021111012021121020200
41313212300133310000
54101003413240410
6134555312405200
712164334642501
oct1674660376400
9407435247220
10128425524480
114a5129513a0
1220a81546800
13c158937906
14630433aba8
153519a073c0
hex1de6c1fd00

128425524480 has 432 divisors, whose sum is σ = 491408963136. Its totient is φ = 30704762880.

The previous prime is 128425524467. The next prime is 128425524481. The reversal of 128425524480 is 84425524821.

It is a happy number.

128425524480 is a `hidden beast` number, since 1 + 2 + 8 + 42 + 5 + 524 + 4 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128425524481) 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 47 ways as a sum of consecutive naturals, for example, 9243619 + ... + 9257501.

It is an arithmetic number, because the mean of its divisors is an integer number (1137520748).

Almost surely, 2128425524480 is an apocalyptic number.

128425524480 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 128425524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245704481568).

128425524480 is an abundant number, since it is smaller than the sum of its proper divisors (362983438656).

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

128425524480 is a wasteful number, since it uses less digits than its factorization.

128425524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 128425524480 in words is "one hundred twenty-eight billion, four hundred twenty-five million, five hundred twenty-four thousand, four hundred eighty".