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9230967768 = 23311179972063
BaseRepresentation
bin10001001100011010…
…10110001111011000
3212211022200202020010
420212031112033120
5122401111432033
64123551401520
7444515634321
oct104615261730
925738622203
109230967768
113a07705790
1219575232a0
13b4158ac09
14637d79448
15390601863
hex2263563d8

9230967768 has 128 divisors (see below), whose sum is σ = 26695941120. Its totient is φ = 2628802560.

The previous prime is 9230967727. The next prime is 9230967773. The reversal of 9230967768 is 8677690329.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4473505 + ... + 4475567.

It is an arithmetic number, because the mean of its divisors is an integer number (208562040).

Almost surely, 29230967768 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 9230967768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347970560).

9230967768 is an abundant number, since it is smaller than the sum of its proper divisors (17464973352).

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

9230967768 is a wasteful number, since it uses less digits than its factorization.

9230967768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The square root of 9230967768 is about 96077.9254980040. The cubic root of 9230967768 is about 2097.7275318089.

The spelling of 9230967768 in words is "nine billion, two hundred thirty million, nine hundred sixty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 997 1122 1496 1994 2063 2244 2991 3988 4126 4488 5982 6189 7976 8252 10967 11964 12378 16504 16949 21934 22693 23928 24756 32901 33898 35071 43868 45386 49512 50847 65802 67796 68079 70142 87736 90772 101694 105213 131604 135592 136158 140284 181544 186439 203388 210426 263208 272316 280568 372878 385781 406776 420852 544632 559317 745756 771562 841704 1118634 1157343 1491512 1543124 2056811 2237268 2314686 3086248 4113622 4474536 4629372 6170433 8227244 9258744 12340866 16454488 22624921 24681732 34965787 45249842 49363464 67874763 69931574 90499684 104897361 135749526 139863148 180999368 209794722 271499052 279726296 384623657 419589444 542998104 769247314 839178888 1153870971 1538494628 2307741942 3076989256 4615483884 9230967768