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198233945868 = 2237219131135449
BaseRepresentation
bin1011100010011110101…
…0011111011100001100
3200221200021010211200010
42320213222133130030
511221440342231433
6231022321233220
720215264511100
oct2704752373414
9627607124603
10198233945868
1177085992632
1232504192810
131590248612a
149847723900
1552533c3e63
hex2e27a9f70c

198233945868 has 144 divisors (see below), whose sum is σ = 570710448000. Its totient is φ = 53247317760.

The previous prime is 198233945867. The next prime is 198233945869. The reversal of 198233945868 is 868549332891.

It is an interprime number because it is at equal distance from previous prime (198233945867) and next prime (198233945869).

It is a junction number, because it is equal to n+sod(n) for n = 198233945799 and 198233945808.

It is not an unprimeable number, because it can be changed into a prime (198233945867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395808 + ... + 1531256.

It is an arithmetic number, because the mean of its divisors is an integer number (3963267000).

Almost surely, 2198233945868 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 198233945868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285355224000).

198233945868 is an abundant number, since it is smaller than the sum of its proper divisors (372476502132).

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

198233945868 is a wasteful number, since it uses less digits than its factorization.

198233945868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135620 (or 135611 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 66.

The spelling of 198233945868 in words is "one hundred ninety-eight billion, two hundred thirty-three million, nine hundred forty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 131 133 147 196 228 262 266 294 393 399 524 532 588 786 798 917 931 1572 1596 1834 1862 2489 2751 2793 3668 3724 4978 5502 5586 6419 7467 9956 11004 11172 12838 14934 17423 19257 25676 29868 34846 38514 52269 69692 77028 104538 121961 135449 209076 243922 270898 365883 406347 487844 541796 731766 812694 948143 1463532 1625388 1896286 2573531 2844429 3792572 5147062 5688858 6637001 7720593 10294124 11377716 13274002 15441186 17743819 18014717 19911003 26548004 30882372 35487638 36029434 39822006 53231457 54044151 70975276 72058868 79644012 106462914 108088302 124206733 126103019 212925828 216176604 248413466 252206038 337132561 372620199 378309057 496826932 504412076 674265122 745240398 756618114 869447131 1011397683 1348530244 1490480796 1513236228 1738894262 2022795366 2359927927 2608341393 3477788524 4045590732 4719855854 5216682786 7079783781 9439711708 10433365572 14159567562 16519495489 28319135124 33038990978 49558486467 66077981956 99116972934 198233945868