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128228710752 = 2532445238579
BaseRepresentation
bin111011101101100000…
…1101101100101100000
3110020222110221102120100
41313123001231211200
54100103022221002
6134524002142400
712156425025522
oct1673301554540
9406873842510
10128228710752
114a42184531a
1220a27651a00
13c126c2799c
1462c6147a12
1535075cc11c
hex1ddb06d960

128228710752 has 36 divisors (see below), whose sum is σ = 364650397020. Its totient is φ = 42742903488.

The previous prime is 128228710703. The next prime is 128228710769. The reversal of 128228710752 is 257017822821.

128228710752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1282287107522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128228710698 and 128228710707.

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 5 ways as a sum of consecutive naturals, for example, 222619002 + ... + 222619577.

It is an arithmetic number, because the mean of its divisors is an integer number (10129177695).

Almost surely, 2128228710752 is an apocalyptic number.

128228710752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128228710752 is an abundant number, since it is smaller than the sum of its proper divisors (236421686268).

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

128228710752 is a wasteful number, since it uses less digits than its factorization.

128228710752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445238595 (or 445238584 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 128228710752 in words is "one hundred twenty-eight billion, two hundred twenty-eight million, seven hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 445238579 890477158 1335715737 1780954316 2671431474 3561908632 4007147211 5342862948 7123817264 8014294422 10685725896 14247634528 16028588844 21371451792 32057177688 42742903584 64114355376 128228710752