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9817639056 = 24322323592
BaseRepresentation
bin10010010010010110…
…10100100010010000
3221100012121201221100
421021023110202100
5130101303422211
64302110024400
7465201361251
oct111113244220
927305551840
109817639056
11418888a595
121a9baa8100
13c05c9aaa4
14691c52b28
153c6d8a156
hex2492d4890

9817639056 has 135 divisors (see below), whose sum is σ = 28802520019. Its totient is φ = 3121542336.

The previous prime is 9817639037. The next prime is 9817639087. The reversal of 9817639056 is 6509367189.

The square root of 9817639056 is 99084.

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

It is a super-2 number, since 2×98176390562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9817638993 and 9817639011.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27347005 + ... + 27347363.

Almost surely, 29817639056 is an apocalyptic number.

9817639056 is the 99084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9817639056

9817639056 is an abundant number, since it is smaller than the sum of its proper divisors (18984880963).

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

9817639056 is a wasteful number, since it uses less digits than its factorization.

9817639056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The cubic root of 9817639056 is about 2141.2581078555.

The spelling of 9817639056 in words is "nine billion, eight hundred seventeen million, six hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 359 368 414 529 552 718 828 1058 1077 1104 1436 1587 1656 2116 2154 2872 3174 3231 3312 4232 4308 4761 5744 6348 6462 8257 8464 8616 9522 12696 12924 16514 17232 19044 24771 25392 25848 33028 38088 49542 51696 66056 74313 76176 99084 128881 132112 148626 189911 198168 257762 297252 379822 386643 396336 515524 569733 594504 759644 773286 1031048 1139466 1159929 1189008 1519288 1546572 1709199 2062096 2278932 2319858 2964263 3038576 3093144 3418398 4557864 4639716 5928526 6186288 6836796 8892789 9115728 9279432 11857052 13673592 17785578 18558864 23714104 26678367 27347184 35571156 47428208 53356734 68178049 71142312 106713468 136356098 142284624 204534147 213426936 272712196 409068294 426853872 545424392 613602441 818136588 1090848784 1227204882 1636273176 2454409764 3272546352 4908819528 9817639056