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423295807968 = 253211133616101
BaseRepresentation
bin1100010100011100110…
…01010111000111100000
31111110121012202000211100
412022032121113013200
523413402211323333
6522243122114400
742403444000335
oct6121631270740
91443535660740
10423295807968
111535784a2760
126a054aaba00
1330bbba8b1b7
14166b809298c
15b026b8a213
hex628e6571e0

423295807968 has 72 divisors (see below), whose sum is σ = 1313179050456. Its totient is φ = 128271456000.

The previous prime is 423295807933. The next prime is 423295807997. The reversal of 423295807968 is 869708592324.

423295807968 is a `hidden beast` number, since 4 + 23 + 29 + 580 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66804883 + ... + 66811218.

It is an arithmetic number, because the mean of its divisors is an integer number (18238597923).

Almost surely, 2423295807968 is an apocalyptic number.

423295807968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

423295807968 is an abundant number, since it is smaller than the sum of its proper divisors (889883242488).

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

423295807968 is a wasteful number, since it uses less digits than its factorization.

423295807968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133616128 (or 133616117 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 423295807968 in words is "four hundred twenty-three billion, two hundred ninety-five million, eight hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 133616101 267232202 400848303 534464404 801696606 1068928808 1202544909 1469777111 1603393212 2137857616 2405089818 2939554222 3206786424 4275715232 4409331333 4810179636 5879108444 6413572848 8818662666 9620359272 11758216888 12827145696 13227993999 17637325332 19240718544 23516433776 26455987998 35274650664 38481437088 47032867552 52911975996 70549301328 105823951992 141098602656 211647903984 423295807968