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378824025807108 = 223272534051940549
BaseRepresentation
bin101011000100010011101011…
…1011111011001100100000100
31211200022020000200212221220100
41112020213113133121210010
5344123123101101311413
63421405204400404100
7142536063336111300
oct12610472737314404
91750266020787810
10378824025807108
11aa783404712002
12365a2773916630
131334bc4c41303b
146979275ad8d00
152dbe137999a73
hex15889d77d9904

378824025807108 has 108 divisors (see below), whose sum is σ = 1134940444173900. Its totient is φ = 106193257881984.

The previous prime is 378824025807107. The next prime is 378824025807109. The reversal of 378824025807108 is 801708520428873.

378824025807108 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 2 + 40 + 2 + 580 + 7 + 1 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (378824025807107) and next prime (378824025807109).

It can be written as a sum of positive squares in 2 ways, for example, as 181873059105024 + 196950966702084 = 13486032^2 + 14033922^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (378824025807107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2025876783 + ... + 2026063766.

It is an arithmetic number, because the mean of its divisors is an integer number (10508707816425).

Almost surely, 2378824025807108 is an apocalyptic number.

It is an amenable number.

378824025807108 is an abundant number, since it is smaller than the sum of its proper divisors (756116418366792).

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

378824025807108 is a wasteful number, since it uses less digits than its factorization.

378824025807108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051940626 (or 4051940614 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 378824025807108 in words is "three hundred seventy-eight trillion, eight hundred twenty-four billion, twenty-five million, eight hundred seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 441 477 588 636 742 882 954 1113 1484 1764 1908 2226 2597 3339 4452 5194 6678 7791 10388 13356 15582 23373 31164 46746 93492 4051940549 8103881098 12155821647 16207762196 24311643294 28363583843 36467464941 48623286588 56727167686 72934929882 85090751529 113454335372 145869859764 170181503058 198545086901 214752849097 255272254587 340363006116 397090173802 429505698194 510544509174 595635260703 644258547291 794180347604 859011396388 1021089018348 1191270521406 1288517094582 1503269943679 1786905782109 1932775641873 2382541042812 2577034189164 3006539887358 3573811564218 3865551283746 4509809831037 6013079774716 7147623128436 7731102567492 9019619662074 10522889605753 13529429493111 18039239324148 21045779211506 27058858986222 31568668817259 42091558423012 54117717972444 63137337634518 94706006451777 126274675269036 189412012903554 378824025807108