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128374708999680 = 29335111328312037
BaseRepresentation
bin11101001100000110010000…
…111011011001011000000000
3121211112111120012020212121000
4131030012100323121120000
5113311242401000442210
61133010305511132000
736016523651145543
oct3514062073313000
9554474505225530
10128374708999680
11379a4454565990
1212493a66374000
1356828b5a59300
14239b524a1885a
15ec94c29aeac0
hex74c190ed9600

128374708999680 has 1920 divisors, whose sum is σ = 545196220208640. Its totient is φ = 28378738851840.

The previous prime is 128374708999661. The next prime is 128374708999739. The reversal of 128374708999680 is 86999807473821.

128374708999680 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 7 + 470 + 89 + 9 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 128374708999680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10665002622 + ... + 10665014658.

It is an arithmetic number, because the mean of its divisors is an integer number (283956364692).

Almost surely, 2128374708999680 is an apocalyptic number.

128374708999680 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 128374708999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272598110104320).

128374708999680 is an abundant number, since it is smaller than the sum of its proper divisors (416821511208960).

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

128374708999680 is a wasteful number, since it uses less digits than its factorization.

128374708999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12189 (or 12154 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 128374708999680 in words is "one hundred twenty-eight trillion, three hundred seventy-four billion, seven hundred eight million, nine hundred ninety-nine thousand, six hundred eighty".