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129995000320 = 295310916333
BaseRepresentation
bin111100100010001001…
…1100100101000000000
3110102112120112020100111
41321010103210220000
54112212210002240
6135415140001104
712251253162013
oct1710423445000
9412476466314
10129995000320
1150148874869
122123b090194
13c348b43c43
14641296737a
1535ac6c71ea
hex1e444e4a00

129995000320 has 80 divisors (see below), whose sum is σ = 311802666120. Its totient is φ = 51978092544.

The previous prime is 129995000269. The next prime is 129995000321. The reversal of 129995000320 is 23000599921.

It can be written as a sum of positive squares in 4 ways, for example, as 51119401216 + 78875599104 = 226096^2 + 280848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (129995000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7950874 + ... + 7967206.

Almost surely, 2129995000320 is an apocalyptic number.

129995000320 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 129995000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155901333060).

129995000320 is an abundant number, since it is smaller than the sum of its proper divisors (181807665800).

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

129995000320 is an equidigital number, since it uses as much as digits as its factorization.

129995000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19465 (or 19449 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The spelling of 129995000320 in words is "one hundred twenty-nine billion, nine hundred ninety-five million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3109 6218 12436 15545 16333 24872 31090 32666 49744 62180 65332 81665 99488 124360 130664 163330 198976 248720 261328 326660 397952 497440 522656 653320 795904 994880 1045312 1306640 1591808 1989760 2090624 2613280 3979520 4181248 5226560 7959040 8362496 10453120 20906240 41812480 50779297 101558594 203117188 253896485 406234376 507792970 812468752 1015585940 1624937504 2031171880 3249875008 4062343760 6499750016 8124687520 12999500032 16249375040 25999000064 32498750080 64997500160 129995000320