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6552000071281 = 72891502407721
BaseRepresentation
bin101111101011000000110…
…1000110000011001110001
3212012100212011001120202201
41133112001220300121301
51324321444004240111
621533540340143201
71244236445463100
oct137260150603161
925170764046681
106552000071281
1120a6762259075
128999a3697b01
13386b0a71b202
1418919321a037
15b5674d396c1
hex5f581a30671

6552000071281 has 12 divisors (see below), whose sum is σ = 7707351613860. Its totient is φ = 5552898933120.

The previous prime is 6552000071269. The next prime is 6552000071311. The reversal of 6552000071281 is 1821700002556.

6552000071281 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2351484237025 + 4200515834256 = 1533455^2 + 2049516^2 .

It is not a de Polignac number, because 6552000071281 - 215 = 6552000038513 is a prime.

It is a super-3 number, since 3×65520000712813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6552000071281.

It is not an unprimeable number, because it can be changed into a prime (6552000071251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751199500 + ... + 751208221.

It is an arithmetic number, because the mean of its divisors is an integer number (642279301155).

Almost surely, 26552000071281 is an apocalyptic number.

It is an amenable number.

6552000071281 is a deficient number, since it is larger than the sum of its proper divisors (1155351542579).

6552000071281 is a wasteful number, since it uses less digits than its factorization.

6552000071281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502407824 (or 1502407817 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 6552000071281 in words is "six trillion, five hundred fifty-two billion, seventy-one thousand, two hundred eighty-one".

Divisors: 1 7 49 89 623 4361 1502407721 10516854047 73617978329 133714287169 936000010183 6552000071281