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129125525321520 = 24375721317219211
BaseRepresentation
bin11101010111000001100001…
…000100010111011100110000
3121221012021112212121220000000
4131113001201010113130300
5113411043033440242040
61134343240350430000
736125003614451100
oct3527014104273460
9557167485556000
10129125525321520
1138163911826282
1212595485202300
13570863c112030
1423c59ccc27200
15eddcb7e0a130
hex757061117730

129125525321520 has 5760 divisors, whose sum is σ = 633714889651200. Its totient is φ = 24176795811840.

The previous prime is 129125525321483. The next prime is 129125525321521. The reversal of 129125525321520 is 25123525521921.

129125525321520 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 2 + 5 + 52 + 53 + 21 + 520 = 666.

It is a super-2 number, since 2×1291255253215202 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (129125525321521) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 611969314215 + ... + 611969314425.

It is an arithmetic number, because the mean of its divisors is an integer number (110019946120).

Almost surely, 2129125525321520 is an apocalyptic number.

129125525321520 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 129125525321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316857444825600).

129125525321520 is an abundant number, since it is smaller than the sum of its proper divisors (504589364329680).

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

129125525321520 is a wasteful number, since it uses less digits than its factorization.

129125525321520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 129125525321520 in words is "one hundred twenty-nine trillion, one hundred twenty-five billion, five hundred twenty-five million, three hundred twenty-one thousand, five hundred twenty".