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664120034640 = 24335307462979
BaseRepresentation
bin10011010101000001010…
…00111000010101010000
32100111012200000022021000
421222200220320111100
541340104212102030
61225031553102000
765660341103346
oct11524050702520
92314180008230
10664120034640
1123671949a667
12a8864557900
134a81ab459ca
1424201db5996
151241e156860
hex9aa0a38550

664120034640 has 80 divisors (see below), whose sum is σ = 2287524571200. Its totient is φ = 177098675328.

The previous prime is 664120034573. The next prime is 664120034687. The reversal of 664120034640 is 46430021466.

664120034640 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 2 + 0 + 0 + 3 + 4 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 664120034595 and 664120034604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153729330 + ... + 153733649.

It is an arithmetic number, because the mean of its divisors is an integer number (28594057140).

Almost surely, 2664120034640 is an apocalyptic number.

664120034640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664120034640 is an abundant number, since it is smaller than the sum of its proper divisors (1623404536560).

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

664120034640 is a wasteful number, since it uses less digits than its factorization.

664120034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307463001 (or 307462989 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 664120034640 in words is "six hundred sixty-four billion, one hundred twenty million, thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 307462979 614925958 922388937 1229851916 1537314895 1844777874 2459703832 2767166811 3074629790 3689555748 4611944685 4919407664 5534333622 6149259580 7379111496 8301500433 9223889370 11068667244 12298519160 13835834055 14758222992 16603000866 18447778740 22137334488 24597038320 27671668110 33206001732 36895557480 41507502165 44274668976 55343336220 66412003464 73791114960 83015004330 110686672440 132824006928 166030008660 221373344880 332060017320 664120034640