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985221011889 = 3429238032
BaseRepresentation
bin11100101011000111011…
…11111001100110110001
310111012000202011001010000
432111203233321212301
5112120213034340024
62032334305300213
7131115460266102
oct16254357714661
93435022131100
10985221011889
1134a914638434
1213ab38634669
1371ba148296a
14359837143a9
151a96405bcc9
hexe563bf99b1

985221011889 has 45 divisors (see below), whose sum is σ = 1524650810683. Its totient is φ = 633998495088.

The previous prime is 985221011861. The next prime is 985221011891. The reversal of 985221011889 is 988110122589.

The square root of 985221011889 is 992583.

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

985221011889 is a `hidden beast` number, since 9 + 8 + 522 + 101 + 1 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 516626000289 + 468595011600 = 718767^2 + 684540^2 .

It is not a de Polignac number, because 985221011889 - 215 = 985220979121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (985221011849) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 259062262 + ... + 259066064.

Almost surely, 2985221011889 is an apocalyptic number.

985221011889 is the 992583-rd square number.

985221011889 is the 496292-nd centered octagonal number.

It is an amenable number.

985221011889 is a deficient number, since it is larger than the sum of its proper divisors (539429798794).

985221011889 is an frugal number, since it uses more digits than its factorization.

985221011889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 985221011889 in words is "nine hundred eighty-five billion, two hundred twenty-one million, eleven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 29 81 87 261 783 841 2349 2523 3803 7569 11409 22707 34227 68121 102681 110287 308043 330861 992583 2977749 3198323 8933247 9594969 14462809 28784907 43388427 86354721 130165281 259064163 390495843 419421461 1171487529 1258264383 3774793149 11324379447 12163222369 33973138341 36489667107 109469001321 328407003963 985221011889