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5578097664 = 210317261103
BaseRepresentation
bin1010011000111101…
…10000010000000000
3112101202011201110210
411030132300100000
542410443111124
62321301554120
7255142022256
oct51436602000
915352151423
105578097664
112402766377
1210b8115940
136ab859209
143acb865d6
15229a99a29
hex14c7b0400

5578097664 has 264 divisors, whose sum is σ = 16208440768. Its totient is φ = 1704591360.

The previous prime is 5578097641. The next prime is 5578097677. The reversal of 5578097664 is 4667908755.

It is a super-2 number, since 2×55780976642 = 62230347098244513792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54156237 + ... + 54156339.

Almost surely, 25578097664 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 5578097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104220384).

5578097664 is an abundant number, since it is smaller than the sum of its proper divisors (10630343104).

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

5578097664 is a wasteful number, since it uses less digits than its factorization.

5578097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The square root of 5578097664 is about 74686.6632271117. The cubic root of 5578097664 is about 1773.4898391403.

The spelling of 5578097664 in words is "five billion, five hundred seventy-eight million, ninety-seven thousand, six hundred sixty-four".