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480205341992 = 23194797692969
BaseRepresentation
bin1101111110011100111…
…10000000010100101000
31200220111100001220020202
412333032132000110220
530331430031420432
61004334151011332
746456636026215
oct6771636002450
91626440056222
10480205341992
1117572143aa02
1279097969b48
133638b17aa9c
1419356310b0c
15c757e29462
hex6fce780528

480205341992 has 64 divisors (see below), whose sum is σ = 977919264000. Its totient is φ = 220330561536.

The previous prime is 480205341947. The next prime is 480205341997. The reversal of 480205341992 is 299143502084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (480205341997) 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 15 ways as a sum of consecutive naturals, for example, 346484 + ... + 1039452.

It is an arithmetic number, because the mean of its divisors is an integer number (15279988500).

Almost surely, 2480205341992 is an apocalyptic number.

It is a pronic number, being equal to 692968×692969.

It is an amenable number.

480205341992 is an abundant number, since it is smaller than the sum of its proper divisors (497713922008).

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

480205341992 is a wasteful number, since it uses less digits than its factorization.

480205341992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693138 (or 693134 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 480205341992 in words is "four hundred eighty billion, two hundred five million, three hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 19 38 47 76 94 97 152 188 194 376 388 776 893 1786 1843 3572 3686 4559 7144 7372 9118 14744 18236 36472 86621 173242 346484 692968 692969 1385938 2771876 5543752 13166411 26332822 32569543 52665644 65139086 67217993 105331288 130278172 134435986 260556344 268871972 537743944 618821317 1237642634 1277141867 2475285268 2554283734 3159245671 4950570536 5108567468 6318491342 10217134936 12636982684 25273965368 60025667749 120051335498 240102670996 480205341992