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7040400672 = 253172253763
BaseRepresentation
bin1101000111010001…
…11111110100100000
3200011122202102002110
412203220333310200
5103404320310142
63122340115320
7336316263324
oct64350776440
920148672073
107040400672
112a93139258
121445995b40
138827acc76
144ab075984
152b314999c
hex1a3a3fd20

7040400672 has 72 divisors (see below), whose sum is σ = 19632198096. Its totient is φ = 2208744448.

The previous prime is 7040400667. The next prime is 7040400713. The reversal of 7040400672 is 2760040407.

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 11 ways as a sum of consecutive naturals, for example, 99138 + ... + 154625.

It is an arithmetic number, because the mean of its divisors is an integer number (272669418).

Almost surely, 27040400672 is an apocalyptic number.

It is an amenable number.

7040400672 is an abundant number, since it is smaller than the sum of its proper divisors (12591797424).

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

7040400672 is a wasteful number, since it uses less digits than its factorization.

7040400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253810 (or 253785 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 7040400672 is about 83907.0954806565. The cubic root of 7040400672 is about 1916.6043017523.

The spelling of 7040400672 in words is "seven billion, forty million, four hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 9248 13872 27744 253763 507526 761289 1015052 1522578 2030104 3045156 4060208 4313971 6090312 8120416 8627942 12180624 12941913 17255884 24361248 25883826 34511768 51767652 69023536 73337507 103535304 138047072 146675014 207070608 220012521 293350028 414141216 440025042 586700056 880050084 1173400112 1760100168 2346800224 3520200336 7040400672