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7057065140 = 2254170112277
BaseRepresentation
bin1101001001010001…
…00100010010110100
3200012211010001102222
412210220210102310
5103423102041030
63124133221512
7336611030636
oct64450442264
920184101388
107057065140
112aa1590544
12144b491898
138860960b8
144ad372a56
152b483c3e5
hex1a4a244b4

7057065140 has 48 divisors (see below), whose sum is σ = 15204191184. Its totient is φ = 2749824000.

The previous prime is 7057065121. The next prime is 7057065149. The reversal of 7057065140 is 415607507.

It can be written as a sum of positive squares in 8 ways, for example, as 1048334884 + 6008730256 = 32378^2 + 77516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7057065140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7057065149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 568682 + ... + 580958.

It is an arithmetic number, because the mean of its divisors is an integer number (316753983).

Almost surely, 27057065140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602095592).

7057065140 is an abundant number, since it is smaller than the sum of its proper divisors (8147126044).

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

7057065140 is a wasteful number, since it uses less digits than its factorization.

7057065140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 7057065140 is about 84006.3398797972. The cubic root of 7057065140 is about 1918.1152964551.

The spelling of 7057065140 in words is "seven billion, fifty-seven million, sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 701 820 1402 2804 3505 7010 12277 14020 24554 28741 49108 57482 61385 114964 122770 143705 245540 287410 503357 574820 1006714 2013428 2516785 5033570 8606177 10067140 17212354 34424708 43030885 86061770 172123540 352853257 705706514 1411413028 1764266285 3528532570 7057065140