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56128000440 = 2335467733337
BaseRepresentation
bin110100010001011111…
…010101000110111000
312100212122201211220010
4310101133111012320
51404422232003230
641441305501520
74024622063151
oct642137250670
9170778654803
1056128000440
112189287a526
12aa651a18a0
1353a65040a5
142a0653c928
1516d78639b0
hexd117d51b8

56128000440 has 32 divisors (see below), whose sum is σ = 168384001680. Its totient is φ = 14967466752.

The previous prime is 56128000433. The next prime is 56128000463. The reversal of 56128000440 is 4400082165.

56128000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56128000398 and 56128000407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233866549 + ... + 233866788.

Almost surely, 256128000440 is an apocalyptic number.

It is an amenable number.

56128000440 is an abundant number, since it is smaller than the sum of its proper divisors (112256001240).

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

56128000440 is a wasteful number, since it uses less digits than its factorization.

56128000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467733351 (or 467733347 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 56128000440 in words is "fifty-six billion, one hundred twenty-eight million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467733337 935466674 1403200011 1870933348 2338666685 2806400022 3741866696 4677333370 5612800044 7016000055 9354666740 11225600088 14032000110 18709333480 28064000220 56128000440