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98420057316 = 2235736913919
BaseRepresentation
bin101101110101001001…
…0101110010011100100
3100102001001200221100000
41123222102232103210
53103031013313231
6113114043221300
710052640453420
oct1335222562344
9312031627300
1098420057316
1138815613849
12170a8817830
1393863aa209
144a992abb80
15286069d6e6
hex16ea4ae4e4

98420057316 has 144 divisors (see below), whose sum is σ = 295010293760. Its totient is φ = 28105224480.

The previous prime is 98420057279. The next prime is 98420057419. The reversal of 98420057316 is 61375002489.

98420057316 is a `hidden beast` number, since 9 + 84 + 200 + 57 + 316 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25111605 + ... + 25115523.

It is a 1-persistent number, because it is pandigital, but 2⋅98420057316 = 196840114632 is not.

Almost surely, 298420057316 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 98420057316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147505146880).

98420057316 is an abundant number, since it is smaller than the sum of its proper divisors (196590236444).

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

98420057316 is a wasteful number, since it uses less digits than its factorization.

98420057316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 98420057316 in words is "ninety-eight billion, four hundred twenty million, fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 3691 3919 6804 7382 7838 11073 11757 14764 15676 22146 23514 25837 27433 33219 35271 44292 47028 51674 54866 66438 70542 77511 82299 99657 103348 105813 109732 132876 141084 155022 164598 199314 211626 232533 246897 298971 310044 317439 329196 398628 423252 465066 493794 597942 634878 697599 740691 896913 930132 952317 987588 1195884 1269756 1395198 1481382 1793826 1904634 2092797 2222073 2790396 2962764 3587652 3809268 4185594 4444146 6278391 6666219 8371188 8888292 12556782 13332438 14465029 25113564 26664876 28930058 43395087 57860116 86790174 101255203 130185261 173580348 202510406 260370522 303765609 390555783 405020812 520741044 607531218 781111566 911296827 1171667349 1215062436 1562223132 1822593654 2343334698 2733890481 3515002047 3645187308 4686669396 5467780962 7030004094 8201671443 10935561924 14060008188 16403342886 24605014329 32806685772 49210028658 98420057316