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9750331648 = 28137317877
BaseRepresentation
bin10010001010010101…
…00100000100000000
3221011111222011112101
421011022210010000
5124432041103043
64251303240144
7463423310611
oct110512440400
927144864471
109750331648
114153898532
121a81449054
13bc5062a15
14686d31c08
153c0ee224d
hex2452a4100

9750331648 has 72 divisors (see below), whose sum is σ = 19688907672. Its totient is φ = 4818812928.

The previous prime is 9750331627. The next prime is 9750331697. The reversal of 9750331648 is 8461330579.

It can be written as a sum of positive squares in 4 ways, for example, as 1159266304 + 8591065344 = 34048^2 + 92688^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9750331598 and 9750331607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11117386 + ... + 11118262.

It is an arithmetic number, because the mean of its divisors is an integer number (273457051).

Almost surely, 29750331648 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 9750331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844453836).

9750331648 is an abundant number, since it is smaller than the sum of its proper divisors (9938576024).

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

9750331648 is a wasteful number, since it uses less digits than its factorization.

9750331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 9750331648 is about 98743.7676413048. The cubic root of 9750331648 is about 2136.3535631163.

The spelling of 9750331648 in words is "nine billion, seven hundred fifty million, three hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 317 548 634 877 1096 1268 1754 2192 2536 3508 4384 5072 7016 8768 10144 14032 17536 20288 28064 35072 40576 43429 56128 81152 86858 112256 120149 173716 224512 240298 278009 347432 480596 556018 694864 961192 1112036 1389728 1922384 2224072 2779456 3844768 4448144 5558912 7689536 8896288 11117824 15379072 17792576 30758144 35585152 38087233 71170304 76174466 152348932 304697864 609395728 1218791456 2437582912 4875165824 9750331648