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985855656690 = 23454759438913
BaseRepresentation
bin11100101100010011001…
…00111000001011110010
310111020122222100100010000
432112021210320023302
5112123013022003230
62032521300050430
7131140264550352
oct16261144701362
93436588310100
10985855656690
1135010a8a9473
1213b095093a16
1371c72abb728
1435a03b18b62
151a99eb1eb60
hexe5899382f2

985855656690 has 160 divisors (see below), whose sum is σ = 2753149512960. Its totient is φ = 252939718656.

The previous prime is 985855656671. The next prime is 985855656697. The reversal of 985855656690 is 96656558589.

985855656690 is a `hidden beast` number, since 9 + 8 + 5 + 8 + 5 + 56 + 566 + 9 + 0 = 666.

It is a super-2 number, since 2×9858556566902 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) 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 (985855656697) 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 79 ways as a sum of consecutive naturals, for example, 2026674 + ... + 2465586.

It is an arithmetic number, because the mean of its divisors is an integer number (17207184456).

Almost surely, 2985855656690 is an apocalyptic number.

985855656690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 985855656690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376574756480).

985855656690 is an abundant number, since it is smaller than the sum of its proper divisors (1767293856270).

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

985855656690 is a wasteful number, since it uses less digits than its factorization.

985855656690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439038 (or 439029 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 985855656690 in words is "nine hundred eighty-five billion, eight hundred fifty-five million, six hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 59 81 90 94 118 135 141 162 177 235 270 282 295 354 405 423 470 531 590 705 810 846 885 1062 1269 1410 1593 1770 2115 2538 2655 2773 3186 3807 4230 4779 5310 5546 6345 7614 7965 8319 9558 12690 13865 15930 16638 19035 23895 24957 27730 38070 41595 47790 49914 74871 83190 124785 149742 224613 249570 374355 438913 449226 748710 877826 1123065 1316739 2194565 2246130 2633478 3950217 4389130 6583695 7900434 11850651 13167390 19751085 20628911 23701302 25895867 35551953 39502170 41257822 51791734 59253255 61886733 71103906 77687601 103144555 118506510 123773466 129479335 155375202 177759765 185660199 206289110 233062803 258958670 309433665 355519530 371320398 388438005 466125606 556980597 618867330 699188409 776876010 928300995 1113961194 1165314015 1217105749 1398376818 1670941791 1856601990 2097565227 2330628030 2434211498 2784902985 3341883582 3495942045 3651317247 4195130454 5569805970 6085528745 6991884090 7302634494 8354708955 10487826135 10953951741 12171057490 16709417910 18256586235 20975652270 21907903482 32861855223 36513172470 54769758705 65723710446 98585565669 109539517410 164309276115 197171131338 328618552230 492927828345 985855656690