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9284705696 = 257131397797
BaseRepresentation
bin10001010010110100…
…10101110110100000
3212222001210220210202
420221122111312200
5123003341040241
64133151244332
7446040460550
oct105132256640
925861726722
109284705696
113a34a798a2
1219715196a8
13b4c7547c6
14641167160
153951b8d9b
hex229695da0

9284705696 has 96 divisors (see below), whose sum is σ = 21129558912. Its totient is φ = 3933895680.

The previous prime is 9284705693. The next prime is 9284705701. The reversal of 9284705696 is 6965074829.

It is a happy number.

It is a super-2 number, since 2×92847056962 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (9284705693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11649170 + ... + 11649966.

It is an arithmetic number, because the mean of its divisors is an integer number (220099572).

Almost surely, 29284705696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9284705696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564779456).

9284705696 is an abundant number, since it is smaller than the sum of its proper divisors (11844853216).

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

9284705696 is a wasteful number, since it uses less digits than its factorization.

9284705696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The square root of 9284705696 is about 96357.1777087727. The cubic root of 9284705696 is about 2101.7902870716.

The spelling of 9284705696 in words is "nine billion, two hundred eighty-four million, seven hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 397 524 794 797 917 1048 1588 1594 1834 2096 2779 3176 3188 3668 4192 5558 5579 6352 6376 7336 11116 11158 12704 12752 14672 22232 22316 25504 29344 44464 44632 52007 88928 89264 104014 104407 178528 208028 208814 316409 364049 416056 417628 632818 728098 730849 832112 835256 1265636 1456196 1461698 1664224 1670512 2214863 2531272 2912392 2923396 3341024 4429726 5062544 5824784 5846792 8859452 10125088 11649568 11693584 17718904 23387168 35437808 41449579 70875616 82899158 165798316 290147053 331596632 580294106 663193264 1160588212 1326386528 2321176424 4642352848 9284705696