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468450806640 = 24352192989009
BaseRepresentation
bin1101101000100011101…
…10000000101101110000
31122210011010211122002120
412310101312000231300
530133341401303030
6555111530314240
745562435104645
oct6642166005560
91583133748076
10468450806640
1117073a2a4583
1276957288980
1335236b2b51b
141895d14bdcc
15c2baee4010
hex6d11d80b70

468450806640 has 80 divisors (see below), whose sum is σ = 1452280039200. Its totient is φ = 124913115136.

The previous prime is 468450806611. The next prime is 468450806729. The reversal of 468450806640 is 46608054864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5218456 + ... + 5307464.

It is an arithmetic number, because the mean of its divisors is an integer number (18153500490).

Almost surely, 2468450806640 is an apocalyptic number.

468450806640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468450806640 is an abundant number, since it is smaller than the sum of its proper divisors (983829232560).

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

468450806640 is a wasteful number, since it uses less digits than its factorization.

468450806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110954 (or 110948 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 468450806640 in words is "four hundred sixty-eight billion, four hundred fifty million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 21929 43858 65787 87716 89009 109645 131574 175432 178018 219290 263148 267027 328935 350864 356036 438580 445045 526296 534054 657870 712072 877160 890090 1052592 1068108 1315740 1335135 1424144 1754320 1780180 2136216 2631480 2670270 3560360 4272432 5262960 5340540 7120720 10681080 21362160 1951878361 3903756722 5855635083 7807513444 9759391805 11711270166 15615026888 19518783610 23422540332 29278175415 31230053776 39037567220 46845080664 58556350830 78075134440 93690161328 117112701660 156150268880 234225403320 468450806640