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8000380905 = 35111071513001
BaseRepresentation
bin1110111001101110…
…00001111111101001
3202122120010110101220
413130313001333221
5112341044142110
63401511532253
7402154054446
oct73467017751
922576113356
108000380905
113436008650
12167338a089
139a66475ca
1455c7669cd
1531c573370
hex1dcdc1fe9

8000380905 has 64 divisors (see below), whose sum is σ = 14192879616. Its totient is φ = 3816000000.

The previous prime is 8000380889. The next prime is 8000380933. The reversal of 8000380905 is 5090830008.

8000380905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8000380905 - 24 = 8000380889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2664405 + ... + 2667405.

It is an arithmetic number, because the mean of its divisors is an integer number (221763744).

Almost surely, 28000380905 is an apocalyptic number.

It is an amenable number.

8000380905 is a deficient number, since it is larger than the sum of its proper divisors (6192498711).

8000380905 is a wasteful number, since it uses less digits than its factorization.

8000380905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8000380905 is about 89444.8483983287. The cubic root of 8000380905 is about 2000.0317415796.

The spelling of 8000380905 in words is "eight billion, three hundred eighty thousand, nine hundred five".

Divisors: 1 3 5 11 15 33 55 107 151 165 321 453 535 755 1177 1605 1661 2265 3001 3531 4983 5885 8305 9003 15005 16157 17655 24915 33011 45015 48471 80785 99033 165055 177727 242355 321107 453151 495165 533181 888635 963321 1359453 1605535 2265755 2665905 3532177 4816605 4984661 6797265 10596531 14953983 17660885 24923305 48487157 52982655 74769915 145461471 242435785 533358727 727307355 1600076181 2666793635 8000380905