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3985441902 = 2321331237479
BaseRepresentation
bin1110110110001101…
…0000010001101110
3101021202022102111100
43231203100101232
531130233120102
61455245503530
7200522461101
oct35543202156
911252272440
103985441902
111765750542
12932871ba6
134b68c5260
1429b444738
15184d4ba1c
hexed8d046e

3985441902 has 144 divisors (see below), whose sum is σ = 9889326720. Its totient is φ = 1152247680.

The previous prime is 3985441897. The next prime is 3985441913. The reversal of 3985441902 is 2091445893.

3985441902 is a `hidden beast` number, since 3 + 98 + 544 + 19 + 0 + 2 = 666.

3985441902 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8320099 + ... + 8320577.

It is an arithmetic number, because the mean of its divisors is an integer number (68675880).

Almost surely, 23985441902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985441902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944663360).

3985441902 is an abundant number, since it is smaller than the sum of its proper divisors (5903884818).

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

3985441902 is a wasteful number, since it uses less digits than its factorization.

3985441902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3985441902 is about 63130.3564222475. The cubic root of 3985441902 is about 1585.4729159001.

The spelling of 3985441902 in words is "three billion, nine hundred eighty-five million, four hundred forty-one thousand, nine hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 37 39 62 74 78 93 111 117 186 222 234 279 333 403 479 481 558 666 806 958 961 962 1147 1209 1437 1443 1922 2294 2418 2874 2883 2886 3441 3627 4311 4329 5766 6227 6882 7254 8622 8649 8658 10323 12454 12493 14849 14911 17298 17723 18681 20646 24986 29698 29822 35446 35557 37362 37479 44547 44733 53169 56043 71114 74958 89094 89466 106338 106671 112086 112437 133641 134199 159507 193037 213342 224874 230399 267282 268398 319014 320013 386074 460319 460798 462241 549413 579111 640026 691197 920638 924482 1098826 1158222 1380957 1382394 1386723 1648239 1737333 2073591 2761914 2773446 3296478 3474666 4142871 4147182 4160169 4944717 5984147 7142369 8285742 8320338 9889434 11968294 14284738 17031803 17952441 21427107 34063606 35904882 42854214 51095409 53857323 64281321 102190818 107714646 128562642 153286227 221413439 306572454 442826878 664240317 1328480634 1992720951 3985441902