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98159500120 = 235111953221539
BaseRepresentation
bin101101101101011000…
…0110001101101011000
3100101100220102021001111
41123122300301231120
53102012313000440
6113032134430104
710043324661433
oct1333260615530
9311326367044
1098159500120
11386a152a320
1217035502334
13934440c466
144a7284481a
1528478814ea
hex16dac31b58

98159500120 has 128 divisors (see below), whose sum is σ = 258404256000. Its totient is φ = 33177530880.

The previous prime is 98159500081. The next prime is 98159500129. The reversal of 98159500120 is 2100595189.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98159500129) 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 31 ways as a sum of consecutive naturals, for example, 332311 + ... + 553849.

It is an arithmetic number, because the mean of its divisors is an integer number (2018783250).

Almost surely, 298159500120 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 98159500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129202128000).

98159500120 is an abundant number, since it is smaller than the sum of its proper divisors (160244755880).

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

98159500120 is a wasteful number, since it uses less digits than its factorization.

98159500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221633 (or 221629 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 98159500120 in words is "ninety-eight billion, one hundred fifty-nine million, five hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 53 55 76 88 95 106 110 152 190 209 212 220 265 380 418 424 440 530 583 760 836 1007 1045 1060 1166 1672 2014 2090 2120 2332 2915 4028 4180 4664 5035 5830 8056 8360 10070 11077 11660 20140 22154 23320 40280 44308 55385 88616 110770 221539 221540 443078 443080 886156 1107695 1772312 2215390 2436929 4209241 4430780 4873858 8418482 8861560 9747716 11741567 12184645 16836964 19495432 21046205 23483134 24369290 33673928 42092410 46301651 46966268 48738580 58707835 84184820 92603302 93932536 97477160 117415670 129157237 168369640 185206604 223089773 231508255 234831340 258314474 370413208 446179546 463016510 469662680 516628948 645786185 892359092 926033020 1033257896 1115448865 1291572370 1784718184 1852066040 2230897730 2453987503 2583144740 4461795460 4907975006 5166289480 8923590920 9815950012 12269937515 19631900024 24539875030 49079750060 98159500120