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98920943289 = 32721728812
BaseRepresentation
bin101110000100000100…
…1011100111010111001
3100110022222012120201100
41130020021130322321
53110042230141124
6113235455042013
710101232100400
oct1341011347271
9313288176640
1098920943289
1138a523258a3
1217208510309
1394360b264c
144b05a14637
15288e63e1c9
hex170825ceb9

98920943289 has 81 divisors (see below), whose sum is σ = 176767180941. Its totient is φ = 53140792320.

The previous prime is 98920943257. The next prime is 98920943291. The reversal of 98920943289 is 98234902989.

The square root of 98920943289 is 314517.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 329967225 + 98590976064 = 18165^2 + 313992^2 .

It is not a de Polignac number, because 98920943289 - 25 = 98920943257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (98920943299) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 112282129 + ... + 112283009.

Almost surely, 298920943289 is an apocalyptic number.

98920943289 is the 314517-th square number.

98920943289 is the 157259-th centered octagonal number.

It is an amenable number.

98920943289 is a deficient number, since it is larger than the sum of its proper divisors (77846237652).

98920943289 is an equidigital number, since it uses as much as digits as its factorization.

98920943289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 98920943289 in words is "ninety-eight billion, nine hundred twenty million, nine hundred forty-three thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 441 833 867 881 1071 2023 2499 2601 2643 6069 6167 7497 7929 14161 14977 18207 18501 42483 43169 44931 55503 104839 127449 129507 134793 254609 314517 388521 733873 763827 776161 943551 1782263 2201619 2291481 2328483 5346789 5433127 6604857 6985449 12475841 13194737 16040367 16299381 37427523 38031889 39584211 48898143 92363159 112282569 114095667 118752633 224310529 277089477 342287001 646542113 672931587 831268431 1570173703 1939626339 2018794761 4710521109 5818879017 10991215921 14131563327 32973647763 98920943289