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368008137045 = 32517350393979
BaseRepresentation
bin1010101101011101111…
…11101000100101010101
31022011220010020100022200
411112232333220211111
522012140040341140
6441021031315113
735405404360353
oct5265677504525
91264803210280
10368008137045
11132086aaa23a
125b3a521ba99
132891a6ba813
1413b513ba7d3
15988ceb8030
hex55aefe8955

368008137045 has 48 divisors (see below), whose sum is σ = 642850266240. Its totient is φ = 194746474368.

The previous prime is 368008137031. The next prime is 368008137047. The reversal of 368008137045 is 540731800863.

It is not a de Polignac number, because 368008137045 - 212 = 368008132949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368008137047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3868866 + ... + 3962844.

It is an arithmetic number, because the mean of its divisors is an integer number (13392713880).

Almost surely, 2368008137045 is an apocalyptic number.

It is an amenable number.

368008137045 is a deficient number, since it is larger than the sum of its proper divisors (274842129195).

368008137045 is a wasteful number, since it uses less digits than its factorization.

368008137045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94666 (or 94663 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 368008137045 in words is "three hundred sixty-eight billion, eight million, one hundred thirty-seven thousand, forty-five".

Divisors: 1 3 5 9 15 45 173 503 519 865 1509 1557 2515 2595 4527 7545 7785 22635 87019 93979 261057 281937 435095 469895 783171 845811 1305285 1409685 3915855 4229055 16258367 47271437 48775101 81291835 141814311 146325303 236357185 243875505 425442933 709071555 731626515 2127214665 8177958601 24533875803 40889793005 73601627409 122669379015 368008137045