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98843920896 = 293717540769
BaseRepresentation
bin101110000001110001…
…1101000101000000000
3100110010121021102212010
41130003203220220000
53104413020432041
6113224104132520
710066305315330
oct1340343505000
9313117242763
1098843920896
1138a128a8826
12171a6767140
139423155676
144ad96c50c0
1528879c7a16
hex17038e8a00

98843920896 has 160 divisors (see below), whose sum is σ = 318647640960. Its totient is φ = 26579828736.

The previous prime is 98843920891. The next prime is 98843920957. The reversal of 98843920896 is 69802934889.

It is not an unprimeable number, because it can be changed into a prime (98843920891) by changing a digit.

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, 87601 + ... + 453168.

It is an arithmetic number, because the mean of its divisors is an integer number (1991547756).

Almost surely, 298843920896 is an apocalyptic number.

98843920896 is a gapful number since it is divisible by the number (96) 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 98843920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159323820480).

98843920896 is an abundant number, since it is smaller than the sum of its proper divisors (219803720064).

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

98843920896 is a wasteful number, since it uses less digits than its factorization.

98843920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540814 (or 540798 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 66.

The spelling of 98843920896 in words is "ninety-eight billion, eight hundred forty-three million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 512 544 672 714 768 816 896 952 1088 1344 1428 1536 1632 1792 1904 2176 2688 2856 3264 3584 3808 4352 5376 5712 6528 7616 8704 10752 11424 13056 15232 22848 26112 30464 45696 60928 91392 182784 540769 1081538 1622307 2163076 3244614 3785383 4326152 6489228 7570766 8652304 9193073 11356149 12978456 15141532 17304608 18386146 22712298 25956912 27579219 30283064 34609216 36772292 45424596 51913824 55158438 60566128 64351511 69218432 73544584 90849192 103827648 110316876 121132256 128703022 138436864 147089168 181698384 193054533 207655296 220633752 242264512 257406044 276873728 294178336 363396768 386109066 415310592 441267504 484529024 514812088 588356672 726793536 772218132 830621184 882535008 969058048 1029624176 1176713344 1453587072 1544436264 1765070016 1938116096 2059248352 2353426688 2907174144 3088872528 3530140032 4118496704 4706853376 5814348288 6177745056 7060280064 8236993408 12355490112 14120560128 16473986816 24710980224 32947973632 49421960448 98843920896