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3538607985 = 3351129127647
BaseRepresentation
bin1101001011101010…
…1101111101110001
3100010121111220121000
43102322231331301
524221340423420
61343044352213
7153455446233
oct32272557561
910117456530
103538607985
1115564a7610
128290a5669
134451666a3
14257d6c253
1515a9d6690
hexd2eadf71

3538607985 has 128 divisors (see below), whose sum is σ = 7166361600. Its totient is φ = 1640943360.

The previous prime is 3538607981. The next prime is 3538607999. The reversal of 3538607985 is 5897068353.

It is a happy number.

It is not a de Polignac number, because 3538607985 - 22 = 3538607981 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3538607981) 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, 5468932 + ... + 5469578.

It is an arithmetic number, because the mean of its divisors is an integer number (55987200).

Almost surely, 23538607985 is an apocalyptic number.

It is an amenable number.

3538607985 is an abundant number, since it is smaller than the sum of its proper divisors (3627753615).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3538607985 is a wasteful number, since it uses less digits than its factorization.

3538607985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3538607985 is about 59486.1999542751. The cubic root of 3538607985 is about 1523.8567778793.

The spelling of 3538607985 in words is "three billion, five hundred thirty-eight million, six hundred seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 127 135 145 165 261 297 319 381 435 495 635 647 783 957 1143 1305 1397 1485 1595 1905 1941 2871 3235 3429 3683 3915 4191 4785 5715 5823 6985 7117 8613 9705 11049 12573 14355 17145 17469 18415 18763 20955 21351 29115 33147 35585 37719 40513 43065 55245 56289 62865 64053 82169 87345 93815 99441 106755 121539 165735 168867 188595 192159 202565 206393 246507 281445 320265 364617 410845 497205 506601 607695 619179 739521 844335 903859 960795 1031965 1093851 1232535 1823085 1857537 2218563 2382901 2533005 2711577 3095895 3697605 4519295 5469255 5572611 7148703 8134731 9287685 11092815 11914505 13557885 21446109 24404193 26211911 27863055 35743515 40673655 64338327 78635733 107230545 122020965 131059555 235907199 321691635 393178665 707721597 1179535995 3538607985