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7050283136 = 271316572557
BaseRepresentation
bin1101001000011101…
…01100100010000000
3200012100100111021122
412210032230202000
5103414333030021
63123332011412
7336466263221
oct64416544200
920170314248
107050283136
112a98779086
121449160b68
13884860190
144ac4c9248
152b3e4cbab
hex1a43ac880

7050283136 has 64 divisors (see below), whose sum is σ = 15140955480. Its totient is φ = 3250741248.

The previous prime is 7050283117. The next prime is 7050283157. The reversal of 7050283136 is 6313820507.

It can be written as a sum of positive squares in 4 ways, for example, as 4009422400 + 3040860736 = 63320^2 + 55144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 7050283096 and 7050283105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755970 + ... + 2758526.

Almost surely, 27050283136 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 7050283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570477740).

7050283136 is an abundant number, since it is smaller than the sum of its proper divisors (8090672344).

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

7050283136 is a wasteful number, since it uses less digits than its factorization.

7050283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 7050283136 is about 83965.9641521492. The cubic root of 7050283136 is about 1917.5006483546.

The spelling of 7050283136 in words is "seven billion, fifty million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1657 1664 2557 3314 5114 6628 10228 13256 20456 21541 26512 33241 40912 43082 53024 66482 81824 86164 106048 132964 163648 172328 212096 265928 327296 344656 531856 689312 1063712 1378624 2127424 2757248 4236949 4254848 8473898 16947796 33895592 55080337 67791184 110160674 135582368 220321348 271164736 440642696 542329472 881285392 1762570784 3525141568 7050283136