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5602201174656 = 273217745938351
BaseRepresentation
bin101000110000101110100…
…1101100000001010000000
3201211120021000212102212200
41101201131031200022000
51213241302000042111
615525340553353200
71115513524201032
oct121413515401200
921746230772780
105602201174656
11186a975572169
127658b1a08800
13318392a74988
141552100d1c52
159aad593e256
hex5185d360280

5602201174656 has 192 divisors, whose sum is σ = 17071940246400. Its totient is φ = 1757271859200.

The previous prime is 5602201174651. The next prime is 5602201174693. The reversal of 5602201174656 is 6564711022065.

5602201174656 is a `hidden beast` number, since 5 + 602 + 20 + 1 + 17 + 4 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (5602201174651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146057881 + ... + 146096231.

It is an arithmetic number, because the mean of its divisors is an integer number (88916355450).

Almost surely, 25602201174656 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 5602201174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535970123200).

5602201174656 is an abundant number, since it is smaller than the sum of its proper divisors (11469739071744).

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

5602201174656 is a wasteful number, since it uses less digits than its factorization.

5602201174656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45847 (or 45832 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5602201174656 in words is "five trillion, six hundred two billion, two hundred one million, one hundred seventy-four thousand, six hundred fifty-six".