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444640713313632 = 25311421061281547
BaseRepresentation
bin110010100011001011111101…
…1110001010000110101100000
32011022100020101211000111201120
41211012113323301100311200
5431234443140102014012
64213401042423132240
7162441142244222553
oct14506277361206540
92138306354014646
10444640713313632
111197490819a6a70
1241a524232a4080
1316114593341c64
147bb2a2251669a
1536611d30ac58c
hex19465fbc50d60

444640713313632 has 48 divisors (see below), whose sum is σ = 1273289315401152. Its totient is φ = 134739610094720.

The previous prime is 444640713313597. The next prime is 444640713313711. The reversal of 444640713313632 is 236313317046444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210530639718 + ... + 210530641829.

It is an arithmetic number, because the mean of its divisors is an integer number (26526860737524).

Almost surely, 2444640713313632 is an apocalyptic number.

It is an amenable number.

444640713313632 is an abundant number, since it is smaller than the sum of its proper divisors (828648602087520).

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

444640713313632 is a wasteful number, since it uses less digits than its factorization.

444640713313632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421061281571 (or 421061281563 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 51.

The spelling of 444640713313632 in words is "four hundred forty-four trillion, six hundred forty billion, seven hundred thirteen million, three hundred thirteen thousand, six hundred thirty-two".

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 421061281547 842122563094 1263183844641 1684245126188 2526367689282 3368490252376 4631674097017 5052735378564 6736980504752 9263348194034 10105470757128 13473961009504 13895022291051 18526696388068 20210941514256 27790044582102 37053392776136 40421883028512 55580089164204 74106785552272 111160178328408 148213571104544 222320356656816 444640713313632