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98257097268 = 2232111982715791
BaseRepresentation
bin101101110000010010…
…1000101001000110100
3100101121201001201011200
41123200211011020310
53102212304103033
6113045542332500
710045621355301
oct1334045051064
9311551051150
1098257097268
113874162a520
121706212a130
13935b6c1355
144a817ac0a8
15285120e013
hex16e0945234

98257097268 has 144 divisors (see below), whose sum is σ = 285574947840. Its totient is φ = 28171886400.

The previous prime is 98257097179. The next prime is 98257097291. The reversal of 98257097268 is 86279075289.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6214453 + ... + 6230243.

It is an arithmetic number, because the mean of its divisors is an integer number (1983159360).

Almost surely, 298257097268 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 98257097268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142787473920).

98257097268 is an abundant number, since it is smaller than the sum of its proper divisors (187317850572).

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

98257097268 is a wasteful number, since it uses less digits than its factorization.

98257097268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658 (or 16653 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 98257097268 in words is "ninety-eight billion, two hundred fifty-seven million, ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 827 836 1254 1654 1881 2481 2508 3308 3762 4962 7443 7524 9097 9924 14886 15713 15791 18194 27291 29772 31426 31582 36388 47139 47373 54582 62852 63164 81873 94278 94746 109164 141417 142119 163746 172843 173701 188556 189492 282834 284238 300029 327492 345686 347402 518529 521103 565668 568476 600058 691372 694804 900087 1037058 1042206 1200116 1555587 1563309 1800174 2074116 2084412 2700261 3111174 3126618 3300319 3600348 5400522 6222348 6253236 6600638 9900957 10801044 13059157 13201276 19801914 26118314 29702871 39177471 39603828 52236628 59405742 78354942 117532413 118811484 143650727 156709884 235064826 248123983 287301454 430952181 470129652 496247966 574602908 744371949 861904362 992495932 1292856543 1488743898 1723808724 2233115847 2585713086 2729363813 2977487796 4466231694 5171426172 5458727626 8188091439 8932463388 10917455252 16376182878 24564274317 32752365756 49128548634 98257097268