Search a number
-
+
98570322420 = 223517231183373
BaseRepresentation
bin101101111001100111…
…1111100000111110100
3100102102112110012022020
41123303033330013310
53103333000304140
6113141012033140
710056443626203
oct1336317740764
9312375405266
1098570322420
1138892417189
121712b0027b0
1393ab56c98b
144ab122523a
15286d9816d0
hex16f33fc1f4

98570322420 has 144 divisors (see below), whose sum is σ = 302646317568. Its totient is φ = 23941048320.

The previous prime is 98570322419. The next prime is 98570322421. The reversal of 98570322420 is 2422307589.

It is an interprime number because it is at equal distance from previous prime (98570322419) and next prime (98570322421).

It is a super-2 number, since 2×985703224202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98570322421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445854 + ... + 629226.

Almost surely, 298570322420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98570322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151323158784).

98570322420 is an abundant number, since it is smaller than the sum of its proper divisors (204075995148).

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

98570322420 is a wasteful number, since it uses less digits than its factorization.

98570322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183450 (or 183431 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 98570322420 in words is "ninety-eight billion, five hundred seventy million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 289 310 340 372 465 510 527 578 620 867 930 1020 1054 1156 1445 1581 1734 1860 2108 2635 2890 3162 3468 4335 5270 5780 6324 7905 8670 8959 10540 15810 17340 17918 26877 31620 35836 44795 53754 89590 107508 134385 179180 183373 268770 366746 537540 550119 733492 916865 1100238 1833730 2200476 2750595 3117341 3667460 5501190 5684563 6234682 9352023 11002380 11369126 12469364 15586705 17053689 18704046 22738252 28422815 31173410 34107378 37408092 46760115 52994797 56845630 62346820 68214756 85268445 93520230 96637571 105989594 113691260 158984391 170536890 187040460 193275142 211979188 264973985 289912713 317968782 341073780 386550284 483187855 529947970 579825426 635937564 794921955 966375710 1059895940 1159650852 1449563565 1589843910 1642838707 1932751420 2899127130 3179687820 3285677414 4928516121 5798254260 6571354828 8214193535 9857032242 16428387070 19714064484 24642580605 32856774140 49285161210 98570322420