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128780733312 = 27327113074729
BaseRepresentation
bin111011111101111101…
…1100000101110000000
3110022101221200002011100
41313323323200232000
54102220331431222
6135054442014400
712206210112660
oct1677373405600
9408357602140
10128780733312
114a685404010
1220b604a7400
13c1b43c595a
1463395a21a0
15353acbe4ac
hex1dfbee0b80

128780733312 has 384 divisors, whose sum is σ = 463624761600. Its totient is φ = 33333534720.

The previous prime is 128780733281. The next prime is 128780733313. The reversal of 128780733312 is 213337087821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128780733313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27229764 + ... + 27234492.

It is an arithmetic number, because the mean of its divisors is an integer number (1207356150).

Almost surely, 2128780733312 is an apocalyptic number.

128780733312 is a gapful number since it is divisible by the number (12) 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 128780733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231812380800).

128780733312 is an abundant number, since it is smaller than the sum of its proper divisors (334844028288).

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

128780733312 is a wasteful number, since it uses less digits than its factorization.

128780733312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 128780733312 in words is "one hundred twenty-eight billion, seven hundred eighty million, seven hundred thirty-three thousand, three hundred twelve".