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8002701057 = 3131731389369
BaseRepresentation
bin1110111001111111…
…11000011100000001
3202122201111100001110
413130333320130001
5112342142413212
63402033353533
7402212556651
oct73477703401
922581440043
108002701057
11343735282a
1216741088a9
139a6c7a690
1455cbac361
1531c880a3c
hex1dcff8701

8002701057 has 32 divisors (see below), whose sum is σ = 12559518720. Its totient is φ = 4485519360.

The previous prime is 8002701053. The next prime is 8002701079. The reversal of 8002701057 is 7501072008.

It is a happy number.

It is not a de Polignac number, because 8002701057 - 22 = 8002701053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8002701053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174132 + ... + 215237.

It is an arithmetic number, because the mean of its divisors is an integer number (392484960).

Almost surely, 28002701057 is an apocalyptic number.

It is an amenable number.

8002701057 is a deficient number, since it is larger than the sum of its proper divisors (4556817663).

8002701057 is a wasteful number, since it uses less digits than its factorization.

8002701057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389433.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 8002701057 is about 89457.8171933566. The cubic root of 8002701057 is about 2000.2250627558.

The spelling of 8002701057 in words is "eight billion, two million, seven hundred one thousand, fifty-seven".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 6851 20553 389369 1168107 5061797 6619273 12070439 15185391 19857819 36211317 86050549 156915707 205197463 258151647 470747121 615592389 2667567019 8002701057