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2664010368 = 273219121711
BaseRepresentation
bin1001111011001001…
…1001001010000000
320212122210202012200
42132302121022000
520423441312433
61120202553200
7123005500035
oct23662311200
96778722180
102664010368
111147845468
12624208800
13335bc53c6
141b3b4538c
15108d26613
hex9ec99280

2664010368 has 96 divisors (see below), whose sum is σ = 8069505600. Its totient is φ = 841259520.

The previous prime is 2664010331. The next prime is 2664010379. The reversal of 2664010368 is 8630104662.

2664010368 is a `hidden beast` number, since 2 + 6 + 640 + 1 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26640103682 = 14193902481622990848, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38968 + ... + 82743.

It is an arithmetic number, because the mean of its divisors is an integer number (84057350).

Almost surely, 22664010368 is an apocalyptic number.

It is an amenable number.

2664010368 is an abundant number, since it is smaller than the sum of its proper divisors (5405495232).

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

2664010368 is a wasteful number, since it uses less digits than its factorization.

2664010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121750 (or 121735 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2664010368 is about 51614.0520401179. The cubic root of 2664010368 is about 1386.2619520750.

The spelling of 2664010368 in words is "two billion, six hundred sixty-four million, ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 121711 243422 365133 486844 730266 973688 1095399 1460532 1947376 2190798 2312509 2921064 3894752 4381596 4625018 5842128 6937527 7789504 8763192 9250036 11684256 13875054 15579008 17526384 18500072 20812581 23368512 27750108 35052768 37000144 41625162 46737024 55500216 70105536 74000288 83250324 111000432 140211072 148000576 166500648 222000864 296001152 333001296 444001728 666002592 888003456 1332005184 2664010368