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129923453088 = 25361113172979
BaseRepresentation
bin111100100000000001…
…0101001000010100000
3110102100120220021000000
41321000002221002200
54112040400444323
6135404102300000
712246424062342
oct1710002510240
9412316807000
10129923453088
1150111447320
122121b127600
13c3370830c0
146407261292
1535a6292e43
hex1e400a90a0

129923453088 has 1344 divisors, whose sum is σ = 499751078400. Its totient is φ = 32606945280.

The previous prime is 129923453057. The next prime is 129923453089. The reversal of 129923453088 is 880354329921.

129923453088 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 23 + 4 + 530 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (129923453089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1644600633 + ... + 1644600711.

It is an arithmetic number, because the mean of its divisors is an integer number (371838600).

Almost surely, 2129923453088 is an apocalyptic number.

129923453088 is a gapful number since it is divisible by the number (18) 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 129923453088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249875539200).

129923453088 is an abundant number, since it is smaller than the sum of its proper divisors (369827625312).

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

129923453088 is a wasteful number, since it uses less digits than its factorization.

129923453088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 129923453088 in words is "one hundred twenty-nine billion, nine hundred twenty-three million, four hundred fifty-three thousand, eighty-eight".