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98108211264 = 263785385577
BaseRepresentation
bin101101101011110110…
…1001000000001000000
3100101020022220111222020
41123113231020001000
53101411200230024
6113023103241440
710042133015310
oct1332755100100
9311208814866
1098108211264
1138675589238
12170202a9280
1393368c251b
144a69ad3440
1528430ee979
hex16d7b48040

98108211264 has 112 divisors (see below), whose sum is σ = 297011799168. Its totient is φ = 27997728768.

The previous prime is 98108211259. The next prime is 98108211277. The reversal of 98108211264 is 46211280189.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×981082112642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103644 + ... + 1189220.

It is an arithmetic number, because the mean of its divisors is an integer number (2651891064).

Almost surely, 298108211264 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 98108211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148505899584).

98108211264 is an abundant number, since it is smaller than the sum of its proper divisors (198903587904).

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

98108211264 is a wasteful number, since it uses less digits than its factorization.

98108211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86452 (or 86442 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 98108211264 in words is "ninety-eight billion, one hundred eight million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 853 1344 1706 2559 3412 5118 5971 6824 10236 11942 13648 17913 20472 23884 27296 35826 40944 47768 54592 71652 81888 85577 95536 143304 163776 171154 191072 256731 286608 342308 382144 513462 573216 599039 684616 1026924 1146432 1198078 1369232 1797117 2053848 2396156 2738464 3594234 4107696 4792312 5476928 7188468 8215392 9584624 14376936 16430784 19169248 28753872 38338496 57507744 72997181 115015488 145994362 218991543 291988724 437983086 510980267 583977448 875966172 1021960534 1167954896 1532940801 1751932344 2043921068 2335909792 3065881602 3503864688 4087842136 4671819584 6131763204 7007729376 8175684272 12263526408 14015458752 16351368544 24527052816 32702737088 49054105632 98108211264