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128475864 = 233211214747
BaseRepresentation
bin1111010100001…
…10001011011000
322221202020202100
413222012023120
5230342211424
620425403400
73120012126
oct752061330
9287666670
10128475864
1166580900
1237039560
1320803b2a
14130c4916
15b42bdc9
hex7a862d8

128475864 has 72 divisors (see below), whose sum is σ = 382489380. Its totient is φ = 38929440.

The previous prime is 128475857. The next prime is 128475881. The reversal of 128475864 is 468574821.

128475864 is a `hidden beast` number, since 1 + 28 + 47 + 586 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1339 + ... + 16085.

Almost surely, 2128475864 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 128475864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191244690).

128475864 is an abundant number, since it is smaller than the sum of its proper divisors (254013516).

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

128475864 is a wasteful number, since it uses less digits than its factorization.

128475864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781 (or 14763 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 128475864 is about 11334.7194054374. The cubic root of 128475864 is about 504.5921799788.

The spelling of 128475864 in words is "one hundred twenty-eight million, four hundred seventy-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 14747 29494 44241 58988 88482 117976 132723 162217 176964 265446 324434 353928 486651 530892 648868 973302 1061784 1297736 1459953 1784387 1946604 2919906 3568774 3893208 5353161 5839812 7137548 10706322 11679624 14275096 16059483 21412644 32118966 42825288 64237932 128475864