Search a number
-
+
9825343065984 = 27338366806347
BaseRepresentation
bin1000111011111010010000…
…0101010100111110000000
31021210021221001101201012110
42032332210011110332000
52241434300311102414
632521411132455320
72032600106036115
oct216764405247600
937707831351173
109825343065984
1131489a5018456
12112827361a540
135636ab46b8a4
1425d798bb890c
151208a685a459
hex8efa4154f80

9825343065984 has 64 divisors (see below), whose sum is σ = 26166710384640. Its totient is φ = 3266563094016.

The previous prime is 9825343065973. The next prime is 9825343066001. The reversal of 9825343065984 is 4895603435289.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33256102 + ... + 33550245.

It is an arithmetic number, because the mean of its divisors is an integer number (408854849760).

Almost surely, 29825343065984 is an apocalyptic number.

It is an amenable number.

9825343065984 is an abundant number, since it is smaller than the sum of its proper divisors (16341367318656).

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

9825343065984 is a wasteful number, since it uses less digits than its factorization.

9825343065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66806747 (or 66806735 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 9825343065984 in words is "nine trillion, eight hundred twenty-five billion, three hundred forty-three million, sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 383 384 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 24512 36768 49024 73536 147072 66806347 133612694 200419041 267225388 400838082 534450776 801676164 1068901552 1603352328 2137803104 3206704656 4275606208 6413409312 8551212416 12826818624 25586830901 25653637248 51173661802 76760492703 102347323604 153520985406 204694647208 307041970812 409389294416 614083941624 818778588832 1228167883248 1637557177664 2456335766496 3275114355328 4912671532992 9825343065984