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9682790742 = 23217151367571
BaseRepresentation
bin10010000010010001…
…11010100101010110
3220222210212201211100
421001020322211112
5124312243300432
64240451450530
7461643235422
oct110110724526
926883781740
109682790742
114119756aa9
121a628b6a46
13bb40755a1
1467bd8db82
153ba10007c
hex24123a956

9682790742 has 96 divisors (see below), whose sum is σ = 22460765184. Its totient is φ = 3004128000.

The previous prime is 9682790729. The next prime is 9682790771. The reversal of 9682790742 is 2470972869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16957317 + ... + 16957887.

It is an arithmetic number, because the mean of its divisors is an integer number (233966304).

Almost surely, 29682790742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9682790742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11230382592).

9682790742 is an abundant number, since it is smaller than the sum of its proper divisors (12777974442).

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

9682790742 is a wasteful number, since it uses less digits than its factorization.

9682790742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9682790742 is about 98401.1724625271. The cubic root of 9682790742 is about 2131.4092624574.

The spelling of 9682790742 in words is "nine billion, six hundred eighty-two million, seven hundred ninety thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 151 153 302 306 367 453 571 734 906 1101 1142 1359 1713 2202 2567 2718 3303 3426 5134 5139 6239 6606 7701 9707 10278 12478 15402 18717 19414 23103 29121 37434 46206 55417 56151 58242 86221 87363 110834 112302 166251 172442 174726 209557 258663 332502 419114 498753 517326 628671 775989 942089 997506 1257342 1465757 1551978 1884178 1886013 2826267 2931514 3562469 3772026 4397271 5652534 7124938 8478801 8794542 10687407 13191813 16957602 21374814 26383626 31643107 32062221 63286214 64124442 94929321 189858642 284787963 537932819 569575926 1075865638 1613798457 3227596914 4841395371 9682790742