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4455051325344 = 253215468928213
BaseRepresentation
bin100000011010100010111…
…0000000110111110100000
3120202220021012001011020200
41000311011300012332200
51040442421114402334
613250342231105200
7636603216311664
oct100650560067640
916686235034220
104455051325344
11146841636a564
125bb503812200
13264156865aa9
141158a8a548a4
157ad4593c799
hex40d45c06fa0

4455051325344 has 36 divisors (see below), whose sum is σ = 12669052207266. Its totient is φ = 1485017108352.

The previous prime is 4455051325303. The next prime is 4455051325409. The reversal of 4455051325344 is 4435231505544.

4455051325344 is a `hidden beast` number, since 4 + 4 + 5 + 505 + 132 + 5 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4442770252944 + 12281072400 = 2107788^2 + 110820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44550513253442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4455051325344.

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 5 ways as a sum of consecutive naturals, for example, 7734463819 + ... + 7734464394.

Almost surely, 24455051325344 is an apocalyptic number.

It is an amenable number.

4455051325344 is an abundant number, since it is smaller than the sum of its proper divisors (8214000881922).

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

4455051325344 is a wasteful number, since it uses less digits than its factorization.

4455051325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15468928229 (or 15468928218 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 4455051325344 in words is "four trillion, four hundred fifty-five billion, fifty-one million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 15468928213 30937856426 46406784639 61875712852 92813569278 123751425704 139220353917 185627138556 247502851408 278440707834 371254277112 495005702816 556881415668 742508554224 1113762831336 1485017108448 2227525662672 4455051325344