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1264425984 = 21033192983
BaseRepresentation
bin100101101011101…
…1001110000000000
310021010020111101000
41023113121300000
510042143112414
6325245012000
743222305063
oct11327316000
93233214330
101264425984
1159980aa58
122b3554000
13171c60b73
14bdd008da
1576014b09
hex4b5d9c00

1264425984 has 352 divisors, whose sum is σ = 4126752000. Its totient is φ = 380878848.

The previous prime is 1264425979. The next prime is 1264426001. The reversal of 1264425984 is 4895244621.

It is a happy number.

1264425984 is a `hidden beast` number, since 12 + 6 + 4 + 42 + 598 + 4 = 666.

Its product of digits (552960) is a multiple of the sum of its prime factors (160).

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 31 ways as a sum of consecutive naturals, for example, 15234007 + ... + 15234089.

Almost surely, 21264425984 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 1264425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063376000).

1264425984 is an abundant number, since it is smaller than the sum of its proper divisors (2862326016).

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

1264425984 is a wasteful number, since it uses less digits than its factorization.

1264425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1264425984 is about 35558.7680326526. The cubic root of 1264425984 is about 1081.3454835699.

The spelling of 1264425984 in words is "one billion, two hundred sixty-four million, four hundred twenty-five thousand, nine hundred eighty-four".