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10323241416460 = 2257103721399251
BaseRepresentation
bin1001011000111001000100…
…1000110011011100001100
31100112220002102222120021201
42112032101020303130030
52323113444300311320
633542233122235244
72113554355141420
oct226162110633414
940486072876251
1010323241416460
113320075720515
1211a88687b5b24
1359b629071a5b
1427990cc42b80
1512d7e7bec70a
hex9639123370c

10323241416460 has 96 divisors (see below), whose sum is σ = 25020041260032. Its totient is φ = 3504512736000.

The previous prime is 10323241416443. The next prime is 10323241416461. The reversal of 10323241416460 is 6461414232301.

It is not an unprimeable number, because it can be changed into a prime (10323241416461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103961835 + ... + 104061085.

It is an arithmetic number, because the mean of its divisors is an integer number (260625429792).

Almost surely, 210323241416460 is an apocalyptic number.

10323241416460 is a gapful number since it is divisible by the number (10) 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 10323241416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510020630016).

10323241416460 is an abundant number, since it is smaller than the sum of its proper divisors (14696799843572).

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

10323241416460 is a wasteful number, since it uses less digits than its factorization.

10323241416460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106583 (or 106581 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 10323241416460 its reverse (6461414232301), we get a palindrome (16784655648761).

The spelling of 10323241416460 in words is "ten trillion, three hundred twenty-three billion, two hundred forty-one million, four hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 7213 14420 14426 28852 36065 50491 72130 99251 100982 144260 198502 201964 252455 397004 496255 504910 694757 742939 992510 1009820 1389514 1485878 1985020 2779028 2971756 3473785 3714695 5200573 6947570 7429390 10222853 10401146 13895140 14858780 20445706 20802292 26002865 40891412 51114265 52005730 71559971 102228530 104011460 143119942 204457060 286239884 357799855 715599710 715897463 1431199420 1431794926 2863589852 3579487315 5011282241 7158974630 10022564482 14317949260 20045128964 25056411205 50112822410 73737438689 100225644820 147474877378 294949754756 368687193445 516162070823 737374386890 1032324141646 1474748773780 2064648283292 2580810354115 5161620708230 10323241416460