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7138712256 = 263132860061
BaseRepresentation
bin1101010011000000…
…00001101011000000
3200102111202011020020
412221200001223000
5104110002243011
63140211213440
7341622024114
oct65140015300
920374664206
107138712256
1130336871a5
1214728a7280
13899c820c0
144ba147744
152bbab9006
hex1a9801ac0

7138712256 has 56 divisors (see below), whose sum is σ = 20340760944. Its totient is φ = 2196526080.

The previous prime is 7138712237. The next prime is 7138712261. The reversal of 7138712256 is 6522178317.

It is a super-2 number, since 2×71387122562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427535 + ... + 1432526.

It is an arithmetic number, because the mean of its divisors is an integer number (363227874).

Almost surely, 27138712256 is an apocalyptic number.

It is an amenable number.

7138712256 is an abundant number, since it is smaller than the sum of its proper divisors (13202048688).

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

7138712256 is a wasteful number, since it uses less digits than its factorization.

7138712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860089 (or 2860079 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 7138712256 is about 84490.9004331236. The cubic root of 7138712256 is about 1925.4841987471.

The spelling of 7138712256 in words is "seven billion, one hundred thirty-eight million, seven hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 2860061 5720122 8580183 11440244 17160366 22880488 34320732 37180793 45760976 68641464 74361586 91521952 111542379 137282928 148723172 183043904 223084758 274565856 297446344 446169516 549131712 594892688 892339032 1189785376 1784678064 2379570752 3569356128 7138712256