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98799493408 = 25721120992729
BaseRepresentation
bin101110000000011101…
…0001010000100100000
3100110000111200021210121
41130000322022010200
53104320132242113
6113215440010024
710065225560200
oct1340072120440
9313014607717
1098799493408
113899a8137a0
1217193900914
139416b9b805
144ad383c400
152883b4de8d
hex1700e8a120

98799493408 has 144 divisors (see below), whose sum is σ = 247046436000. Its totient is φ = 38460871680.

The previous prime is 98799493369. The next prime is 98799493417. The reversal of 98799493408 is 80439499789.

It is a super-2 number, since 2×987994934082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36202188 + ... + 36204916.

It is an arithmetic number, because the mean of its divisors is an integer number (1715600250).

Almost surely, 298799493408 is an apocalyptic number.

98799493408 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98799493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123523218000).

98799493408 is an abundant number, since it is smaller than the sum of its proper divisors (148246942592).

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

98799493408 is a wasteful number, since it uses less digits than its factorization.

98799493408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 70.

The spelling of 98799493408 in words is "ninety-eight billion, seven hundred ninety-nine million, four hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2099 2156 2464 2729 4198 4312 5458 8396 8624 10916 14693 16792 17248 19103 21832 23089 29386 30019 33584 38206 43664 46178 58772 60038 67168 76412 87328 92356 102851 117544 120076 133721 152824 161623 184712 205702 210133 235088 240152 267442 305648 323246 369424 411404 420266 470176 480304 534884 611296 646492 738848 822808 840532 960608 1069768 1131361 1292984 1470931 1645616 1681064 2139536 2262722 2585968 2941862 3291232 3362128 4279072 4525444 5171936 5728171 5883724 6724256 9050888 11456342 11767448 18101776 22912684 23534896 36203552 40097197 45825368 47069792 63009881 80194394 91650736 126019762 160388788 183301472 252039524 280680379 320777576 441069167 504079048 561360758 641555152 882138334 1008158096 1122721516 1283110304 1764276668 2016316192 2245443032 3087484169 3528553336 4490886064 6174968338 7057106672 8981772128 12349936676 14114213344 24699873352 49399746704 98799493408