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5535310464 = 27324804957
BaseRepresentation
bin1010010011110111…
…00010001010000000
3112021202122220110200
411021323202022000
542314014413324
62313132525200
7254112235245
oct51173421200
915252586420
105535310464
1123905a1752
1210a5920800
136a2a27b48
143a72095cc
15225e46ec9
hex149ee2280

5535310464 has 48 divisors (see below), whose sum is σ = 15928435770. Its totient is φ = 1845103104.

The previous prime is 5535310463. The next prime is 5535310477. The reversal of 5535310464 is 4640135355.

5535310464 is a `hidden beast` number, since 553 + 53 + 10 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3999297600 + 1536012864 = 63240^2 + 39192^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5535310463) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2401327 + ... + 2403630.

Almost surely, 25535310464 is an apocalyptic number.

It is an amenable number.

5535310464 is an abundant number, since it is smaller than the sum of its proper divisors (10393125306).

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

5535310464 is a wasteful number, since it uses less digits than its factorization.

5535310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804977 (or 4804962 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5535310464 is about 74399.6670960294. The cubic root of 5535310464 is about 1768.9436347271.

The spelling of 5535310464 in words is "five billion, five hundred thirty-five million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4804957 9609914 14414871 19219828 28829742 38439656 43244613 57659484 76879312 86489226 115318968 153758624 172978452 230637936 307517248 345956904 461275872 615034496 691913808 922551744 1383827616 1845103488 2767655232 5535310464