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98358131641 = 7211240732
BaseRepresentation
bin101101110011010011…
…0011111101110111001
3100101212202011210021111
41123212212133232321
53102414140203031
6113103552040321
710051256216200
oct1334646375671
9311782153244
1098358131641
1138793668100
121708bb330a1
1393766078c3
144a90d8c237
15285a01a1b1
hex16e699fbb9

98358131641 has 27 divisors (see below), whose sum is σ = 125794588143. Its totient is φ = 76623882720.

The previous prime is 98358131617. The next prime is 98358131681. The reversal of 98358131641 is 14613185389.

The square root of 98358131641 is 313621.

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

It can be written as a sum of positive squares in only one way, i.e., 10566812025 + 87791319616 = 102795^2 + 296296^2 .

It is not a de Polignac number, because 98358131641 - 29 = 98358131129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (98358131681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24146781 + ... + 24150853.

Almost surely, 298358131641 is an apocalyptic number.

98358131641 is the 313621-st square number.

98358131641 is the 156811-st centered octagonal number.

It is an amenable number.

98358131641 is a deficient number, since it is larger than the sum of its proper divisors (27436456502).

98358131641 is an frugal number, since it uses more digits than its factorization.

98358131641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 4091 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

Multiplying 98358131641 by its sum of digits (49), we get a square (4819548450409 = 21953472).

98358131641 divided by its sum of digits (49) gives a square (2007308809 = 448032).

The spelling of 98358131641 in words is "ninety-eight billion, three hundred fifty-eight million, one hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 7 11 49 77 121 539 847 4073 5929 28511 44803 199577 313621 492833 2195347 3449831 16589329 24148817 116125303 182482619 812877121 1277378333 2007308809 8941648331 14051161663 98358131641