Search a number
-
+
9264246912 = 273323116549
BaseRepresentation
bin10001010000011000…
…10011000010000000
3212220122022111122000
420220030103002000
5122433121400122
64131140544000
7445401541134
oct105014230200
925818274560
109264246912
113a24475908
1219666b2000
13b4844060b
1463c55d3c4
153934c70ac
hex228313080

9264246912 has 128 divisors (see below), whose sum is σ = 28531440000. Its totient is φ = 2953792512.

The previous prime is 9264246911. The next prime is 9264246913. The reversal of 9264246912 is 2196424629.

It is an interprime number because it is at equal distance from previous prime (9264246911) and next prime (9264246913).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9264246911) 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, 21214 + ... + 137762.

It is an arithmetic number, because the mean of its divisors is an integer number (222901875).

Almost surely, 29264246912 is an apocalyptic number.

9264246912 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9264246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265720000).

9264246912 is an abundant number, since it is smaller than the sum of its proper divisors (19267193088).

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

9264246912 is a wasteful number, since it uses less digits than its factorization.

9264246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116595 (or 116577 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 9264246912 is about 96250.9579796482. The cubic root of 9264246912 is about 2100.2453917322.

The spelling of 9264246912 in words is "nine billion, two hundred sixty-four million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 39744 79488 116549 233098 349647 466196 699294 932392 1048941 1398588 1864784 2097882 2680627 2797176 3146823 3729568 4195764 5361254 5594352 6293646 7459136 8041881 8391528 10722508 11188704 12587292 14918272 16083762 16783056 21445016 22377408 24125643 25174584 32167524 33566112 42890032 44754816 48251286 50349168 64335048 67132224 72376929 85780064 96502572 100698336 128670096 134264448 144753858 171560128 193005144 201396672 257340192 289507716 343120256 386010288 402793344 514680384 579015432 772020576 1029360768 1158030864 1544041152 2316061728 3088082304 4632123456 9264246912