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98386956304 = 247133110321163
BaseRepresentation
bin101101110100001010…
…0011101000000010000
3100101221202102020021121
41123220110131000100
53102444030100204
6113110501532024
710052056221130
oct1335024350020
9311852366247
1098386956304
11387a896553a
1217099714014
13937c58a910
144a94b32ac0
15285c810b54
hex16e851d010

98386956304 has 160 divisors (see below), whose sum is σ = 244546125824. Its totient is φ = 37299294720.

The previous prime is 98386956281. The next prime is 98386956331. The reversal of 98386956304 is 40365968389.

98386956304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4638427 + ... + 4659589.

Almost surely, 298386956304 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 98386956304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122273062912).

98386956304 is an abundant number, since it is smaller than the sum of its proper divisors (146159169520).

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

98386956304 is a wasteful number, since it uses less digits than its factorization.

98386956304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21325 (or 21319 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 98386956304 in words is "ninety-eight billion, three hundred eighty-six million, nine hundred fifty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 103 104 112 124 182 206 208 217 248 364 403 412 434 496 721 728 806 824 868 1339 1442 1456 1612 1648 1736 2678 2821 2884 3193 3224 3472 5356 5642 5768 6386 6448 9373 10712 11284 11536 12772 18746 21163 21424 22351 22568 25544 37492 41509 42326 44702 45136 51088 74984 83018 84652 89404 148141 149968 166036 169304 178808 275119 290563 296282 332072 338608 357616 550238 581126 592564 656053 664144 1100476 1162252 1185128 1312106 1925833 2179789 2200952 2324504 2370256 2624212 3851666 4359578 4401904 4592371 4649008 5248424 7703332 8528689 8719156 9184742 10496848 15258523 15406664 17057378 17438312 18369484 28337257 30517046 30813328 34114756 34876624 36738968 56674514 59700823 61034092 67573459 68229512 73477936 113349028 119401646 122068184 135146918 136459024 198360799 226698056 238803292 244136368 270293836 396721598 453396112 473014213 477606584 540587672 793443196 878454967 946028426 955213168 1081175344 1586886392 1756909934 1892056852 3173772784 3513819868 3784113704 6149184769 7027639736 7568227408 12298369538 14055279472 24596739076 49193478152 98386956304