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129608303960256 = 263112312297191093
BaseRepresentation
bin11101011110000011001000…
…111010101110000011000000
3121222220102200112210210202120
4131132003020322232003000
5113442000301303212011
61135353122144244240
736204614411253222
oct3536031072560300
9558812615723676
10129608303960256
113832a633782100
1212652b5a910680
13574201a4434c4
14240110abc8412
15eeb621bdca06
hex75e0c8eae0c0

129608303960256 has 672 divisors, whose sum is σ = 391690452787200. Its totient is φ = 37755119001600.

The previous prime is 129608303960251. The next prime is 129608303960297. The reversal of 129608303960256 is 652069303806921.

It is a happy number.

It is a super-2 number, since 2×1296083039602562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129608303960256.

It is not an unprimeable number, because it can be changed into a prime (129608303960251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118580332446 + ... + 118580333538.

It is an arithmetic number, because the mean of its divisors is an integer number (582872697600).

Almost surely, 2129608303960256 is an apocalyptic number.

129608303960256 is a gapful number since it is divisible by the number (16) 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 129608303960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195845226393600).

129608303960256 is an abundant number, since it is smaller than the sum of its proper divisors (262082148826944).

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

129608303960256 is a wasteful number, since it uses less digits than its factorization.

129608303960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 129608303960256 in words is "one hundred twenty-nine trillion, six hundred eight billion, three hundred three million, nine hundred sixty thousand, two hundred fifty-six".