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10325004341304 = 23347137211316649
BaseRepresentation
bin1001011000111111101000…
…1101110101000000111000
31100120001122022020102112110
42112033322031311000320
52323131102102410204
633543124100012320
72113646142562122
oct226177215650070
940501568212473
1010325004341304
11332089a861aa4
1211a907b0910a0
1359b84a380653
14279a39028212
1512d89c880889
hex963fa375038

10325004341304 has 128 divisors (see below), whose sum is σ = 26680067712000. Its totient is φ = 3327995811840.

The previous prime is 10325004341303. The next prime is 10325004341317. The reversal of 10325004341304 is 40314340052301.

10325004341304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325004341303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32448772 + ... + 32765420.

It is an arithmetic number, because the mean of its divisors is an integer number (208438029000).

Almost surely, 210325004341304 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 10325004341304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340033856000).

10325004341304 is an abundant number, since it is smaller than the sum of its proper divisors (16355063370696).

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

10325004341304 is a wasteful number, since it uses less digits than its factorization.

10325004341304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317053 (or 317049 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10325004341304 its reverse (40314340052301), we get a palindrome (50639344393605).

The spelling of 10325004341304 in words is "ten trillion, three hundred twenty-five billion, four million, three hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 137 141 188 211 274 282 376 411 422 548 564 633 822 844 1096 1128 1266 1644 1688 2532 3288 5064 6439 9917 12878 19317 19834 25756 28907 29751 38634 39668 51512 57814 59502 77268 79336 86721 115628 119004 154536 173442 231256 238008 316649 346884 633298 693768 949947 1266596 1358629 1899894 2533192 2717258 3799788 4075887 5434516 7599576 8151774 10869032 14882503 16303548 29765006 32607096 43380913 44647509 59530012 66812939 86761826 89295018 119060024 130142739 133625878 173523652 178590036 200438817 260285478 267251756 347047304 357180072 400877634 520570956 534503512 801755268 1041141912 1603510536 2038902911 3140208133 4077805822 6116708733 6280416266 8155611644 9153372643 9420624399 12233417466 12560832532 16311223288 18306745286 18841248798 24466834932 25121665064 27460117929 36613490572 37682497596 48933669864 54920235858 73226981144 75364995192 109840471716 219680943432 430208514221 860417028442 1290625542663 1720834056884 2581251085326 3441668113768 5162502170652 10325004341304