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3742541312913 = 331327738492819
BaseRepresentation
bin110110011101100000110…
…110000111001110010001
3111020210011010202021122000
4312131200312013032101
5442304211034003123
611543144424504213
7534250443164004
oct66354066071621
914223133667560
103742541312913
111213226004417
125053b561b069
13211bc66b4b40
14cd1d60d153b
156754346eb43
hex36760d87391

3742541312913 has 32 divisors (see below), whose sum is σ = 5992562217600. Its totient is φ = 2294787837888.

The previous prime is 3742541312819. The next prime is 3742541312929. The reversal of 3742541312913 is 3192131452473.

3742541312913 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 541 + 3 + 12 + 91 + 3 = 666.

3742541312913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3742541312913 - 218 = 3742541050769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3742541382913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19149183 + ... + 19343636.

It is an arithmetic number, because the mean of its divisors is an integer number (187267569300).

Almost surely, 23742541312913 is an apocalyptic number.

It is an amenable number.

3742541312913 is a deficient number, since it is larger than the sum of its proper divisors (2250020904687).

3742541312913 is a wasteful number, since it uses less digits than its factorization.

3742541312913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493118 (or 38493112 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 3742541312913 in words is "three trillion, seven hundred forty-two billion, five hundred forty-one million, three hundred twelve thousand, nine hundred thirteen".

Divisors: 1 3 9 13 27 39 117 277 351 831 2493 3601 7479 10803 32409 97227 38492819 115478457 346435371 500406647 1039306113 1501219941 4503659823 10662510863 13510979469 31987532589 95962597767 138612641219 287887793301 415837923657 1247513770971 3742541312913