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13938380577 = 3211296772461
BaseRepresentation
bin11001111101100101…
…01100111100100001
31022222101112002121200
430332302230330201
5212021211134302
610223031511413
71002256165032
oct147662547441
938871462550
1013938380577
115a029416a0
12284bb28569
131411915a94
14963236a89
15568a1081c
hex33ecacf21

13938380577 has 48 divisors (see below), whose sum is σ = 23060306880. Its totient is φ = 8034364800.

The previous prime is 13938380567. The next prime is 13938380579. The reversal of 13938380577 is 77508383931.

13938380577 is a `hidden beast` number, since 1 + 3 + 9 + 38 + 38 + 0 + 577 = 666.

It is not a de Polignac number, because 13938380577 - 211 = 13938378529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13938380579) 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 47 ways as a sum of consecutive naturals, for example, 156127 + ... + 228587.

It is an arithmetic number, because the mean of its divisors is an integer number (480423060).

Almost surely, 213938380577 is an apocalyptic number.

It is an amenable number.

13938380577 is a deficient number, since it is larger than the sum of its proper divisors (9121926303).

13938380577 is a wasteful number, since it uses less digits than its factorization.

13938380577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72574 (or 72571 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13938380577 in words is "thirteen billion, nine hundred thirty-eight million, three hundred eighty thousand, five hundred seventy-seven".

Divisors: 1 3 9 11 29 33 67 87 99 201 261 319 603 737 957 1943 2211 2871 5829 6633 17487 21373 64119 72461 192357 217383 652149 797071 2101369 2391213 4854887 6304107 7173639 14564661 18912321 23115059 43693983 53403757 69345177 140791723 160211271 208035531 422375169 480633813 1267125507 1548708953 4646126859 13938380577