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9987298542 = 23813127461
BaseRepresentation
bin10010100110100101…
…00001010011101110
3221210000212100000000
421103102201103232
5130423222023132
64331010245130
7502331431314
oct112322412356
927700770000
109987298542
11426562a241
121b288867a6
13c32191110
146aa5b80b4
153d6bee87c
hex2534a14ee

9987298542 has 144 divisors (see below), whose sum is σ = 24442209792. Its totient is φ = 3042204480.

The previous prime is 9987298523. The next prime is 9987298543. The reversal of 9987298542 is 2458927899.

It is a happy number.

9987298542 is a `hidden beast` number, since 9 + 9 + 87 + 2 + 9 + 8 + 542 = 666.

It is a super-2 number, since 2×99872985422 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9987298542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987298543) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21664192 + ... + 21664652.

It is an arithmetic number, because the mean of its divisors is an integer number (169737568).

Almost surely, 29987298542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987298542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221104896).

9987298542 is an abundant number, since it is smaller than the sum of its proper divisors (14454911250).

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

9987298542 is a wasteful number, since it uses less digits than its factorization.

9987298542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 606 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 9987298542 is about 99936.4725313036. The cubic root of 9987298542 is about 2153.5221548475.

The spelling of 9987298542 in words is "nine billion, nine hundred eighty-seven million, two hundred ninety-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 127 162 234 243 254 351 381 461 486 702 729 762 922 1053 1143 1383 1458 1651 2106 2187 2286 2766 3159 3302 3429 4149 4374 4953 5993 6318 6561 6858 8298 9477 9906 10287 11986 12447 13122 14859 17979 18954 20574 24894 28431 29718 30861 35958 37341 44577 53937 56862 58547 61722 74682 85293 89154 92583 107874 112023 117094 133731 161811 170586 175641 185166 224046 267462 277749 323622 336069 351282 401193 485433 526923 555498 672138 761111 802386 833247 970866 1008207 1053846 1203579 1456299 1522222 1580769 1666494 2016414 2283333 2407158 2912598 3024621 3161538 3610737 4368897 4566666 4742307 6049242 6849999 7221474 8737794 9484614 10832211 13106691 13699998 14226921 20549997 21664422 26213382 28453842 39320073 41099994 42680763 61649991 78640146 85361526 123299982 128042289 184949973 256084578 369899946 384126867 554849919 768253734 1109699838 1664549757 3329099514 4993649271 9987298542