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52199911729 = 7212722572
BaseRepresentation
bin110000100111010110…
…110111000100110001
311222201220100021012001
4300213112313010301
51323401134133404
635551425134001
73525363633400
oct604726670461
9158656307161
1052199911729
1120157542319
12a14978a301
134bcb770144
142752987637
151557a957a4
hexc275b7131

52199911729 has 27 divisors (see below), whose sum is σ = 61443315243. Its totient is φ = 44217750528.

The previous prime is 52199911721. The next prime is 52199911733. The reversal of 52199911729 is 92711999125.

It is a happy number.

The square root of 52199911729 is 228473.

It is a perfect power (a square), and thus also a powerful number.

52199911729 is digitally balanced in base 2, 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 only one way, i.e., 51390623025 + 809288704 = 226695^2 + 28448^2 .

It is not a de Polignac number, because 52199911729 - 23 = 52199911721 is a prime.

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 52199911729.

It is not an unprimeable number, because it can be changed into a prime (52199911721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203112369 + ... + 203112625.

Almost surely, 252199911729 is an apocalyptic number.

52199911729 is the 228473-rd square number.

52199911729 is the 114237-th centered octagonal number.

It is an amenable number.

52199911729 is a deficient number, since it is larger than the sum of its proper divisors (9243403514).

52199911729 is an frugal number, since it uses more digits than its factorization.

52199911729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its digits is 918540, while the sum is 55.

The spelling of 52199911729 in words is "fifty-two billion, one hundred ninety-nine million, nine hundred eleven thousand, seven hundred twenty-nine".

Divisors: 1 7 49 127 257 889 1799 6223 12593 16129 32639 66049 112903 228473 462343 790321 1599311 3236401 4145153 8388223 29016071 58717561 203112497 411022927 1065304321 7457130247 52199911729