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319942253529 = 32295335365521
BaseRepresentation
bin1001010011111100000…
…10110101101111011001
31010120211022210110201200
410221332002311233121
520220220204103104
6402551320504413
732054316166233
oct4517602655731
91116738713650
10319942253529
11113761074568
125201001b109
132422a568222
14116b18b5253
1584c831eb39
hex4a7e0b5bd9

319942253529 has 48 divisors (see below), whose sum is σ = 488482235280. Its totient is φ = 201478717440.

The previous prime is 319942253359. The next prime is 319942253539. The reversal of 319942253529 is 925352249913.

319942253529 is a `hidden beast` number, since 3 + 1 + 9 + 94 + 2 + 25 + 3 + 529 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4362338304 + 315579915225 = 66048^2 + 561765^2 .

It is not a de Polignac number, because 319942253529 - 212 = 319942249433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (319942253539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4850289 + ... + 4915809.

It is an arithmetic number, because the mean of its divisors is an integer number (10176713235).

Almost surely, 2319942253529 is an apocalyptic number.

It is an amenable number.

319942253529 is a deficient number, since it is larger than the sum of its proper divisors (168539981751).

319942253529 is a wasteful number, since it uses less digits than its factorization.

319942253529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65962 (or 65959 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 319942253529 in words is "three hundred nineteen billion, nine hundred forty-two million, two hundred fifty-three thousand, five hundred twenty-nine".

Divisors: 1 3 9 29 53 87 159 261 353 477 1059 1537 3177 4611 10237 13833 18709 30711 56127 65521 92133 168381 196563 542561 589689 1627683 1900109 3472613 4883049 5700327 10417839 17100981 23128913 31253517 69386739 100705777 208160217 302117331 670738477 906351993 1225832389 2012215431 3677497167 6036646293 11032491501 35549139281 106647417843 319942253529