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127770253000 = 23531321814177
BaseRepresentation
bin111011011111110110…
…0110101011011001000
3110012210112021100202121
41312333230311123020
54043133141044000
6134410303541024
712142160142145
oct1667754653310
9405715240677
10127770253000
114a206a82215
1220919bba774
13c082c59400
1462812c73cc
1534cc21cb1a
hex1dbfb356c8

127770253000 has 192 divisors, whose sum is σ = 325616775120. Its totient is φ = 46904832000.

The previous prime is 127770252959. The next prime is 127770253067. The reversal of 127770253000 is 352077721.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 99733429636 + 28036823364 = 315806^2 + 167442^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30586912 + ... + 30591088.

Almost surely, 2127770253000 is an apocalyptic number.

127770253000 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 127770253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162808387560).

127770253000 is an abundant number, since it is smaller than the sum of its proper divisors (197846522120).

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

127770253000 is a wasteful number, since it uses less digits than its factorization.

127770253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The spelling of 127770253000 in words is "one hundred twenty-seven billion, seven hundred seventy million, two hundred fifty-three thousand".