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1339137298521 = 34112116892
BaseRepresentation
bin10011011111001010110…
…011011001000001011001
311202000112210002012210000
4103133022303121001121
5133420023122023041
62503105143443213
7165515033140461
oct23371263310131
94660483065700
101339137298521
11476a1a103900
1219764a456509
1399384512349
1448b59348ba1
1524c79cebbb6
hex137cacd9059

1339137298521 has 45 divisors (see below), whose sum is σ = 2199018506223. Its totient is φ = 811528930080.

The previous prime is 1339137298459. The next prime is 1339137298579. The reversal of 1339137298521 is 1258927319331.

It is a happy number.

The square root of 1339137298521 is 1157211.

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

1339137298521 is a `hidden beast` number, since 1 + 3 + 3 + 91 + 3 + 7 + 29 + 8 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1327705412121 + 11431886400 = 1152261^2 + 106920^2 .

It is not a de Polignac number, because 1339137298521 - 211 = 1339137296473 is a prime.

It is a super-3 number, since 3×13391372985213 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1339135298521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 114558045 + ... + 114569733.

Almost surely, 21339137298521 is an apocalyptic number.

1339137298521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1339137298521 is the 1157211-st square number.

1339137298521 is the 578606-th centered octagonal number.

It is an amenable number.

1339137298521 is a deficient number, since it is larger than the sum of its proper divisors (859881207702).

1339137298521 is an frugal number, since it uses more digits than its factorization.

1339137298521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23412 (or 11703 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 1339137298521 in words is "one trillion, three hundred thirty-nine billion, one hundred thirty-seven million, two hundred ninety-eight thousand, five hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 11689 35067 105201 128579 315603 385737 946809 1157211 1414369 3471633 4243107 10414899 12729321 38187963 114563889 136632721 409898163 1229694489 1502959931 3689083467 4508879793 11067250401 13526639379 16532559241 40579918137 49597677723 121739754411 148793033169 446379099507 1339137298521