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129668055454080 = 273251113241295357
BaseRepresentation
bin11101011110111010110010…
…011000100101000110000000
3122000010010220201210012010100
4131132322302120211012000
5113443440134144012310
61135440403214202400
736212131202500143
oct3536726230450600
9560103821705110
10129668055454080
1138352a05956860
12126626554b3400
135747850561c00
142403d7867005a
15eece6c703ec0
hex75eeb2625180

129668055454080 has 1152 divisors, whose sum is σ = 541832620623840. Its totient is φ = 28308809318400.

The previous prime is 129668055454051. The next prime is 129668055454081. The reversal of 129668055454080 is 80454550866921.

129668055454080 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 6 + 8 + 0 + 5 + 5 + 4 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 129668055453999 and 129668055454017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129668055454081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438873762 + ... + 439169118.

Almost surely, 2129668055454080 is an apocalyptic number.

129668055454080 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 129668055454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270916310311920).

129668055454080 is an abundant number, since it is smaller than the sum of its proper divisors (412164565169760).

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

129668055454080 is a wasteful number, since it uses less digits than its factorization.

129668055454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295460 (or 295432 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 129668055454080 in words is "one hundred twenty-nine trillion, six hundred sixty-eight billion, fifty-five million, four hundred fifty-four thousand, eighty".