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13327755147 = 3773109163
BaseRepresentation
bin11000110100110010…
…10110011110001011
31021101211112010000000
430122121112132023
5204243401131042
610042300014043
7651163023000
oct143231263613
937354463000
1013327755147
11571a196783
1226bb531323
131345269a65
149060c58a7
155300e474c
hex31a65678b

13327755147 has 128 divisors (see below), whose sum is σ = 23668480000. Its totient is φ = 7499695392.

The previous prime is 13327755137. The next prime is 13327755157. The reversal of 13327755147 is 74155772331.

13327755147 is a `hidden beast` number, since 1 + 33 + 27 + 7 + 551 + 47 = 666.

It is an interprime number because it is at equal distance from previous prime (13327755137) and next prime (13327755157).

It is not a de Polignac number, because 13327755147 - 216 = 13327689611 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327755107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81765288 + ... + 81765450.

It is an arithmetic number, because the mean of its divisors is an integer number (184910000).

Almost surely, 213327755147 is an apocalyptic number.

13327755147 is a deficient number, since it is larger than the sum of its proper divisors (10340724853).

13327755147 is an frugal number, since it uses more digits than its factorization.

13327755147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 282 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The spelling of 13327755147 in words is "thirteen billion, three hundred twenty-seven million, seven hundred fifty-five thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 109 147 163 189 243 327 343 441 489 567 729 763 981 1029 1141 1323 1467 1701 2187 2289 2943 3087 3423 3969 4401 5103 5341 6867 7987 8829 9261 10269 11907 13203 15309 16023 17767 20601 23961 26487 27783 30807 35721 37387 39609 48069 53301 55909 61803 71883 79461 83349 92421 107163 112161 118827 124369 144207 159903 167727 185409 215649 238383 250047 277263 336483 356481 373107 432621 479709 503181 556227 646947 750141 831789 870583 1009449 1119321 1297863 1439127 1509543 1668681 1940841 2495367 2611749 3028347 3357963 3893589 4317381 4528629 5822523 6094081 7835247 9085041 10073889 11680767 12952143 13585887 17467569 18282243 23505741 27255123 30221667 38856429 40757661 54846729 70517223 81765369 90665001 122272983 164540187 211551669 271995003 493620561 634655007 1480861683 1903965021 4442585049 13327755147