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10320325567640 = 2351122447871393
BaseRepresentation
bin1001011000101110001101…
…0101101110010010011000
31100112121120020022002122222
42112023203111232102120
52323042011321131030
633541031521403212
72113422200631434
oct226134325562230
940477506262588
1010320325567640
113319909807100
1211a8194199508
1359b282c4221a
142797138a39c4
1512d6c6c2c3e5
hex962e356e498

10320325567640 has 96 divisors (see below), whose sum is σ = 25534074968640. Its totient is φ = 3751307704320.

The previous prime is 10320325567621. The next prime is 10320325567649. The reversal of 10320325567640 is 4676552302301.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10320325567591 and 10320325567600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320325567649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11407784 + ... + 12279176.

It is an arithmetic number, because the mean of its divisors is an integer number (265979947590).

Almost surely, 210320325567640 is an apocalyptic number.

10320325567640 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 10320325567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767037484320).

10320325567640 is an abundant number, since it is smaller than the sum of its proper divisors (15213749401000).

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

10320325567640 is a wasteful number, since it uses less digits than its factorization.

10320325567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873873 (or 873858 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

Adding to 10320325567640 its reverse (4676552302301), we get a palindrome (14996877869941).

The spelling of 10320325567640 in words is "ten trillion, three hundred twenty billion, three hundred twenty-five million, five hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2447 4840 4894 9788 12235 19576 24470 26917 48940 53834 97880 107668 134585 215336 269170 296087 538340 592174 871393 1076680 1184348 1480435 1742786 2368696 2960870 3485572 4356965 5921740 6971144 8713930 9585323 11843480 17427860 19170646 34855720 38341292 47926615 76682584 95853230 105438553 191706460 210877106 383412920 421754212 527192765 843508424 1054385530 2108771060 2132298671 4217542120 4264597342 8529194684 10661493355 17058389368 21322986710 23455285381 42645973420 46910570762 85291946840 93821141524 117276426905 187642283048 234552853810 258008139191 469105707620 516016278382 938211415240 1032032556764 1290040695955 2064065113528 2580081391910 5160162783820 10320325567640