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379668866973 = 31137449692537
BaseRepresentation
bin1011000011001100000…
…01110010011110011101
31100021222202221210121220
411201212001302132131
522210030212220343
6450230101243553
736300356056464
oct5414601623635
91307882853556
10379668866973
111370201a5220
12616ba4035b9
1329a58485006
1414539d219db
159d21a6e183
hex586607279d

379668866973 has 32 divisors (see below), whose sum is σ = 568435190400. Its totient is φ = 223384412160.

The previous prime is 379668866957. The next prime is 379668866977.

379668866973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 379668866973 - 24 = 379668866957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379668866977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201961 + ... + 894497.

It is an arithmetic number, because the mean of its divisors is an integer number (17763599700).

Almost surely, 2379668866973 is an apocalyptic number.

379668866973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

379668866973 is a deficient number, since it is larger than the sum of its proper divisors (188766323427).

379668866973 is a wasteful number, since it uses less digits than its factorization.

379668866973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693037.

The product of its digits is 2962842624, while the sum is 78.

The spelling of 379668866973 in words is "three hundred seventy-nine billion, six hundred sixty-eight million, eight hundred sixty-six thousand, nine hundred seventy-three".

Divisors: 1 3 11 33 37 111 407 449 1221 1347 4939 14817 16613 49839 182743 548229 692537 2077611 7617907 22853721 25623869 76871607 281862559 310949113 845587677 932847339 3420440243 10261320729 11505117181 34515351543 126556288991 379668866973