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7077040128 = 21232191977
BaseRepresentation
bin1101001011101001…
…10001000000000000
3200021012200212222100
412211310301000000
5103443210241003
63130125310400
7340242564024
oct64564610000
920235625870
107077040128
113001893aa4
121456105400
1388a26b012
144b1c92384
152b6485ba3
hex1a5d31000

7077040128 has 78 divisors (see below), whose sum is σ = 20442393374. Its totient is φ = 2359001088.

The previous prime is 7077040121. The next prime is 7077040141. The reversal of 7077040128 is 8210407707.

It can be written as a sum of positive squares in only one way, i.e., 5435817984 + 1641222144 = 73728^2 + 40512^2 .

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 = 7077040092 and 7077040101.

It is not an unprimeable number, because it can be changed into a prime (7077040121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 59125 + ... + 132852.

Almost surely, 27077040128 is an apocalyptic number.

It is an amenable number.

7077040128 is an abundant number, since it is smaller than the sum of its proper divisors (13365353246).

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

7077040128 is a wasteful number, since it uses less digits than its factorization.

7077040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192007 (or 191982 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 7077040128 is about 84125.1456343465. The cubic root of 7077040128 is about 1919.9233302718.

The spelling of 7077040128 in words is "seven billion, seventy-seven million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 191977 383954 575931 767908 1151862 1535816 1727793 2303724 3071632 3455586 4607448 6143264 6911172 9214896 12286528 13822344 18429792 24573056 27644688 36859584 49146112 55289376 73719168 98292224 110578752 147438336 196584448 221157504 294876672 393168896 442315008 589753344 786337792 884630016 1179506688 1769260032 2359013376 3538520064 7077040128