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1373331645 = 335712711443
BaseRepresentation
bin101000111011011…
…0110000010111101
310112201011110212000
41101312312002331
510303033103040
6344135132513
746014061230
oct12166660275
93481143760
101373331645
11645234434
12323b14139
1318b6a209a
14d056d417
1580878130
hex51db60bd

1373331645 has 64 divisors (see below), whose sum is σ = 2812477440. Its totient is φ = 622810944.

The previous prime is 1373331637. The next prime is 1373331683. The reversal of 1373331645 is 5461333731.

1373331645 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 3 + 3 + 1 + 645 = 666.

It is not a de Polignac number, because 1373331645 - 23 = 1373331637 is a prime.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 114294 + ... + 125736.

It is an arithmetic number, because the mean of its divisors is an integer number (43944960).

Almost surely, 21373331645 is an apocalyptic number.

1373331645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1373331645 is an abundant number, since it is smaller than the sum of its proper divisors (1439145795).

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

1373331645 is a wasteful number, since it uses less digits than its factorization.

1373331645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11591 (or 11585 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 1373331645 is about 37058.4895132006. The cubic root of 1373331645 is about 1111.5401192263.

The spelling of 1373331645 in words is "one billion, three hundred seventy-three million, three hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 127 135 189 315 381 635 889 945 1143 1905 2667 3429 4445 5715 8001 11443 13335 17145 24003 34329 40005 57215 80101 102987 120015 171645 240303 308961 400505 514935 720909 1201515 1453261 1544805 2162727 3604545 4359783 7266305 10172827 10813635 13079349 21798915 30518481 39238047 50864135 65396745 91555443 152592405 196190235 274666329 457777215 1373331645