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2072556513 = 321713546121
BaseRepresentation
bin111101110001000…
…1011001111100001
312100102212210001100
41323202023033201
513221033302023
6541354025013
7102234303546
oct17342131741
95312783040
102072556513
119739a4425
1249a118169
132704cc701
14159384bcd
15c1e45c43
hex7b88b3e1

2072556513 has 12 divisors (see below), whose sum is σ = 3169792548. Its totient is φ = 1300427520.

The previous prime is 2072556511. The next prime is 2072556523. The reversal of 2072556513 is 3156552702.

2072556513 is a `hidden beast` number, since 20 + 72 + 5 + 56 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1933976529 + 138579984 = 43977^2 + 11772^2 .

It is not a de Polignac number, because 2072556513 - 21 = 2072556511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2072556511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6772908 + ... + 6773213.

It is an arithmetic number, because the mean of its divisors is an integer number (264149379).

Almost surely, 22072556513 is an apocalyptic number.

It is an amenable number.

2072556513 is a deficient number, since it is larger than the sum of its proper divisors (1097236035).

2072556513 is a wasteful number, since it uses less digits than its factorization.

2072556513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13546144 (or 13546141 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 2072556513 is about 45525.3392409107. The cubic root of 2072556513 is about 1274.9763446592.

The spelling of 2072556513 in words is "two billion, seventy-two million, five hundred fifty-six thousand, five hundred thirteen".

Divisors: 1 3 9 17 51 153 13546121 40638363 121915089 230284057 690852171 2072556513