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468404829320 = 235116811002493
BaseRepresentation
bin1101101000011110001…
…10100111110010001000
31122210000221022202001212
412310033012213302020
530133243114014240
6555103205032252
745561336233201
oct6641706476210
91583027282055
10468404829320
1117071635109a
12769439b5688
133522a4510cc
1418956dc05a8
15c2b6e61165
hex6d0f1a7c88

468404829320 has 32 divisors (see below), whose sum is σ = 1054002141720. Its totient is φ = 187345704960.

The previous prime is 468404829317. The next prime is 468404829329. The reversal of 468404829320 is 23928404864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 368330037604 + 100074791716 = 606902^2 + 316346^2 .

It is not an unprimeable number, because it can be changed into a prime (468404829329) 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 7 ways as a sum of consecutive naturals, for example, 34007 + ... + 968486.

Almost surely, 2468404829320 is an apocalyptic number.

468404829320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468404829320 is an abundant number, since it is smaller than the sum of its proper divisors (585597312400).

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

468404829320 is a wasteful number, since it uses less digits than its factorization.

468404829320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014185 (or 1014181 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 468404829320 in words is "four hundred sixty-eight billion, four hundred four million, eight hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11681 23362 46724 58405 93448 116810 233620 467240 1002493 2004986 4009972 5012465 8019944 10024930 20049860 40099720 11710120733 23420241466 46840482932 58550603665 93680965864 117101207330 234202414660 468404829320