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98079868608 = 26310141912071
BaseRepresentation
bin101101101011000000…
…1000000011011000000
3100101011100120120011020
41123112001000123000
53101331421243413
6113020211545440
710041340061541
oct1332601003300
9311140516136
1098079868608
113866058aa57
12170128bb280
139330a7aa17
144a660364c8
1528408a1c23
hex16d60406c0

98079868608 has 112 divisors (see below), whose sum is σ = 262719555840. Its totient is φ = 32289664000.

The previous prime is 98079868573. The next prime is 98079868619. The reversal of 98079868608 is 80686897089.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8119213 + ... + 8131283.

It is an arithmetic number, because the mean of its divisors is an integer number (2345710320).

Almost surely, 298079868608 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 98079868608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131359777920).

98079868608 is an abundant number, since it is smaller than the sum of its proper divisors (164639687232).

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

98079868608 is a wasteful number, since it uses less digits than its factorization.

98079868608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 98079868608 in words is "ninety-eight billion, seventy-nine million, eight hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 419 606 808 838 1212 1257 1616 1676 2424 2514 3232 3352 4848 5028 6464 6704 9696 10056 12071 13408 19392 20112 24142 26816 36213 40224 42319 48284 72426 80448 84638 96568 126957 144852 169276 193136 253914 289704 338552 386272 507828 579408 677104 772544 1015656 1158816 1219171 1354208 2031312 2317632 2438342 2708416 3657513 4062624 4876684 5057749 7315026 8125248 9753368 10115498 14630052 15173247 19506736 20230996 29260104 30346494 39013472 40461992 58520208 60692988 78026944 80923984 117040416 121385976 161847968 234080832 242771952 323695936 485543904 510832649 971087808 1021665298 1532497947 2043330596 3064995894 4086661192 6129991788 8173322384 12259983576 16346644768 24519967152 32693289536 49039934304 98079868608