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98396896869441 = 3411021692
BaseRepresentation
bin10110010111110111010000…
…000101011011110001000001
3110220101122120220221200110000
4112113313100011123301001
5100344113321044310231
6545134524351030213
726503640555311302
oct2627672005336101
9426348526850400
1098396896869441
1129396987098885
12b051b8980b369
1342b9a31369ca1
141a426143547a9
15b597e0a746e6
hex597dd015bc41

98396896869441 has 15 divisors (see below), whose sum is σ = 146988090414451. Its totient is φ = 65597871729168.

The previous prime is 98396896869409. The next prime is 98396896869463. The reversal of 98396896869441 is 14496869869389.

The square root of 98396896869441 is 9919521.

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

98396896869441 is a `hidden beast` number, since 9 + 8 + 3 + 9 + 6 + 89 + 6 + 86 + 9 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58538887447041 + 39858009422400 = 7651071^2 + 6313320^2 .

It is not a de Polignac number, because 98396896869441 - 25 = 98396896869409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98396896869541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 88724605 + ... + 89826773.

Almost surely, 298396896869441 is an apocalyptic number.

98396896869441 is the 9919521-st square number.

98396896869441 is the 4959761-st centered octagonal number.

It is an amenable number.

98396896869441 is a deficient number, since it is larger than the sum of its proper divisors (48591193545010).

98396896869441 is an frugal number, since it uses more digits than its factorization.

98396896869441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204350 (or 1102172 counting only the distinct ones).

The product of its digits is 34828517376, while the sum is 90.

The spelling of 98396896869441 in words is "ninety-eight trillion, three hundred ninety-six billion, eight hundred ninety-six million, eight hundred sixty-nine thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 1102169 3306507 9919521 29758563 89275689 1214776504561 3644329513683 10932988541049 32798965623147 98396896869441