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9330126432 = 2531119345779
BaseRepresentation
bin10001011000001111…
…00110111001100000
3220002020021112100020
420230013212321200
5123102003021212
64141452553440
7450131523534
oct105407467140
926066245306
109330126432
113a586820a0
121984782880
13b58c98793
146471cbbc4
1539918bd8c
hex22c1e6e60

9330126432 has 96 divisors (see below), whose sum is σ = 26857111680. Its totient is φ = 2812600320.

The previous prime is 9330126431. The next prime is 9330126461. The reversal of 9330126432 is 2346210339.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 9330126393 and 9330126402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9330126431) 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, 180919 + ... + 226697.

It is an arithmetic number, because the mean of its divisors is an integer number (279761580).

Almost surely, 29330126432 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 9330126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428555840).

9330126432 is an abundant number, since it is smaller than the sum of its proper divisors (17526985248).

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

9330126432 is a wasteful number, since it uses less digits than its factorization.

9330126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45996 (or 45988 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 9330126432 is about 96592.5795907739. The cubic root of 9330126432 is about 2105.2120294281.

The spelling of 9330126432 in words is "nine billion, three hundred thirty million, one hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 1056 1158 1544 2123 2316 3088 4246 4632 6176 6369 8492 9264 12738 16984 18528 25476 33968 45779 50952 67936 91558 101904 137337 183116 203808 274674 366232 503569 549348 732464 1007138 1098696 1464928 1510707 2014276 2197392 3021414 4028552 4394784 6042828 8057104 8835347 12085656 16114208 17670694 24171312 26506041 35341388 48342624 53012082 70682776 97188817 106024164 141365552 194377634 212048328 282731104 291566451 388755268 424096656 583132902 777510536 848193312 1166265804 1555021072 2332531608 3110042144 4665063216 9330126432