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98336731392 = 283297440009
BaseRepresentation
bin101101110010101010…
…0110111000100000000
3100101211020220112122200
41123211110313010000
53102343200401032
6113101505233200
710050606265614
oct1334524670400
9311736815580
1098336731392
1138782580849
1217084932800
139372054033
144a8c1bb344
1528581de47c
hex16e5537100

98336731392 has 108 divisors (see below), whose sum is σ = 286452670140. Its totient is φ = 32440909824.

The previous prime is 98336731373. The next prime is 98336731481. The reversal of 98336731392 is 29313763389.

98336731392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43737866496 + 54598864896 = 209136^2 + 233664^2 .

It is a super-2 number, since 2×983367313922 (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 11 ways as a sum of consecutive naturals, for example, 3484 + ... + 443492.

Almost surely, 298336731392 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 98336731392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143226335070).

98336731392 is an abundant number, since it is smaller than the sum of its proper divisors (188115938748).

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

98336731392 is a wasteful number, since it uses less digits than its factorization.

98336731392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440128 (or 440111 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 98336731392 in words is "ninety-eight billion, three hundred thirty-six million, seven hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 576 582 768 776 873 1152 1164 1552 1746 2304 2328 3104 3492 4656 6208 6984 9312 12416 13968 18624 24832 27936 37248 55872 74496 111744 223488 440009 880018 1320027 1760036 2640054 3520072 3960081 5280108 7040144 7920162 10560216 14080288 15840324 21120432 28160576 31680648 42240864 42680873 56321152 63361296 84481728 85361746 112642304 126722592 128042619 168963456 170723492 253445184 256085238 337926912 341446984 384127857 506890368 512170476 682893968 768255714 1013780736 1024340952 1365787936 1536511428 2048681904 2731575872 3073022856 4097363808 5463151744 6146045712 8194727616 10926303488 12292091424 16389455232 24584182848 32778910464 49168365696 98336731392