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128982131712 = 21032719105229
BaseRepresentation
bin111100000011111101…
…1110010010000000000
3110022220222122011211100
41320013323302100000
54103123411203322
6135130434414400
712214204013220
oct1700773622000
9408828564740
10128982131712
114a779061675
1220bb7a31400
13c21704c5c5
14635822a080
15354d802dac
hex1e07ef2400

128982131712 has 264 divisors, whose sum is σ = 448044084800. Its totient is φ = 34912124928.

The previous prime is 128982131711. The next prime is 128982131713. The reversal of 128982131712 is 217131289821.

It is an interprime number because it is at equal distance from previous prime (128982131711) and next prime (128982131713).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128982131711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173114 + ... + 1278342.

Almost surely, 2128982131712 is an apocalyptic number.

128982131712 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 128982131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224022042400).

128982131712 is an abundant number, since it is smaller than the sum of its proper divisors (319061953088).

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

128982131712 is a wasteful number, since it uses less digits than its factorization.

128982131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105281 (or 105260 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 128982131712 in words is "one hundred twenty-eight billion, nine hundred eighty-two million, one hundred thirty-one thousand, seven hundred twelve".