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5675441132064 = 253115374470769
BaseRepresentation
bin101001010010110101010…
…1001110001001000100000
3202002120022020202202202210
41102211222221301020200
51220441300412211224
620023132304042120
71124015502440454
oct122455251611040
922076266682683
105675441132064
111898a39619190
12777b31903340
1332226550b192
1415899b134664
159c9706e2429
hex5296aa71220

5675441132064 has 48 divisors (see below), whose sum is σ = 16252399608480. Its totient is φ = 1719830645760.

The previous prime is 5675441132027. The next prime is 5675441132089. The reversal of 5675441132064 is 4602311445765.

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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2687234329 + ... + 2687236440.

It is an arithmetic number, because the mean of its divisors is an integer number (338591658510).

Almost surely, 25675441132064 is an apocalyptic number.

It is an amenable number.

5675441132064 is an abundant number, since it is smaller than the sum of its proper divisors (10576958476416).

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

5675441132064 is a wasteful number, since it uses less digits than its factorization.

5675441132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374470793 (or 5374470785 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 5675441132064 in words is "five trillion, six hundred seventy-five billion, four hundred forty-one million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5374470769 10748941538 16123412307 21497883076 32246824614 42995766152 59119178459 64493649228 85991532304 118238356918 128987298456 171983064608 177357535377 236476713836 257974596912 354715070754 472953427672 515949193824 709430141508 945906855344 1418860283016 1891813710688 2837720566032 5675441132064