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7201368864 = 2532113221281
BaseRepresentation
bin1101011010011110…
…00010101100100000
3200120212122102221100
412231033002230200
5104222022300424
63150330154400
7343312424334
oct65517025440
920525572840
107201368864
113065a92018
12148b882a00
138a9c4c311
144c45b77c4
152c2343dc9
hex1ad3c2b20

7201368864 has 72 divisors (see below), whose sum is σ = 20660215212. Its totient is φ = 2379202560.

The previous prime is 7201368833. The next prime is 7201368877. The reversal of 7201368864 is 4688631027.

7201368864 is a `hidden beast` number, since 7 + 201 + 368 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5027944464 + 2173424400 = 70908^2 + 46620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78097 + ... + 143184.

Almost surely, 27201368864 is an apocalyptic number.

It is an amenable number.

7201368864 is an abundant number, since it is smaller than the sum of its proper divisors (13458846348).

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

7201368864 is a wasteful number, since it uses less digits than its factorization.

7201368864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221410 (or 221399 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7201368864 is about 84860.8794675144. The cubic root of 7201368864 is about 1931.1011340181.

It can be divided in two parts, 720136 and 8864, that added together give a cube (729000 = 903).

The spelling of 7201368864 in words is "seven billion, two hundred one million, three hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 221281 442562 663843 885124 1327686 1770248 1991529 2655372 3540496 3983058 5310744 7080992 7966116 10621488 15932232 21242976 25004753 31864464 50009506 63728928 75014259 100019012 150028518 200038024 225042777 300057036 400076048 450085554 600114072 800152096 900171108 1200228144 1800342216 2400456288 3600684432 7201368864