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98367501241 = 7327716213001
BaseRepresentation
bin101101110011100101…
…0001111001110111001
3100101220101210210221201
41123213022033032321
53102424040014431
6113104524534201
710051431651622
oct1334712171671
9311811723851
1098367501241
1138798987679
12170930b1361
139378538549
144a9230aa49
15285ac6b461
hex16e728f3b9

98367501241 has 16 divisors (see below), whose sum is σ = 100170087568. Its totient is φ = 96577920000.

The previous prime is 98367501223. The next prime is 98367501257. The reversal of 98367501241 is 14210576389.

It can be written as a sum of positive squares in 8 ways, for example, as 25050025 + 98342451216 = 5005^2 + 313596^2 .

It is a 4-Lehmer number, since φ(98367501241) divides (98367501241-1)4.

It is a cyclic number.

It is not a de Polignac number, because 98367501241 - 217 = 98367370169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98367501191 and 98367501200.

It is not an unprimeable number, because it can be changed into a prime (98367501041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32776741 + ... + 32779741.

It is an arithmetic number, because the mean of its divisors is an integer number (6260630473).

It is a 2-persistent number, because it is pandigital, and so is 2⋅98367501241 = 196735002482, but 3⋅98367501241 = 295102503723 is not.

Almost surely, 298367501241 is an apocalyptic number.

It is an amenable number.

98367501241 is a deficient number, since it is larger than the sum of its proper divisors (1802586327).

98367501241 is a wasteful number, since it uses less digits than its factorization.

98367501241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 98367501241 in words is "ninety-eight billion, three hundred sixty-seven million, five hundred one thousand, two hundred forty-one".

Divisors: 1 73 277 1621 3001 20221 118333 219073 449017 831277 4864621 32778241 60683221 355117333 1347500017 98367501241