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127048576116 = 223731119147689
BaseRepresentation
bin111011001010010101…
…1110110110001110100
3110010221020022101012010
41312110223312301310
54040143413413431
6134210523524220
712115245036000
oct1662453666164
9403836271163
10127048576116
1149976677740
1220758389670
13bc9959a577
146213509700
153488bb7846
hex1d94af6c74

127048576116 has 192 divisors, whose sum is σ = 396990720000. Its totient is φ = 31262595840.

The previous prime is 127048576111. The next prime is 127048576121. The reversal of 127048576116 is 611675840721.

It is an interprime number because it is at equal distance from previous prime (127048576111) and next prime (127048576121).

It is a super-2 number, since 2×1270485761162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127048576111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786400 + ... + 934088.

It is an arithmetic number, because the mean of its divisors is an integer number (2067660000).

Almost surely, 2127048576116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127048576116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198495360000).

127048576116 is an abundant number, since it is smaller than the sum of its proper divisors (269942143884).

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

127048576116 is a wasteful number, since it uses less digits than its factorization.

127048576116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147747 (or 147731 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 127048576116 in words is "one hundred twenty-seven billion, forty-eight million, five hundred seventy-six thousand, one hundred sixteen".