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1361216162025 = 325231231320113
BaseRepresentation
bin10011110011101110110…
…011100100100011101001
311211010112111100200122100
4103303232303210203221
5134300232314141100
62521200054244013
7200226130320066
oct23635663444351
94733474320570
101361216162025
1148531a044835
1219b990656609
139b4927b7315
1449c51777c6d
152561d307400
hex13ceece48e9

1361216162025 has 108 divisors (see below), whose sum is σ = 2527448927484. Its totient is φ = 700283750400.

The previous prime is 1361216162021. The next prime is 1361216162029. The reversal of 1361216162025 is 5202616121631.

1361216162025 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 2 + 1 + 6 + 1 + 620 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1361216162021) and next prime (1361216162029).

It can be written as a sum of positive squares in 6 ways, for example, as 649236285504 + 711979876521 = 805752^2 + 843789^2 .

It is not a de Polignac number, because 1361216162025 - 22 = 1361216162021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361216162021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67668369 + ... + 67688481.

Almost surely, 21361216162025 is an apocalyptic number.

1361216162025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361216162025 is a deficient number, since it is larger than the sum of its proper divisors (1166232765459).

1361216162025 is a wasteful number, since it uses less digits than its factorization.

1361216162025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504 (or 20465 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1361216162025 in words is "one trillion, three hundred sixty-one billion, two hundred sixteen million, one hundred sixty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 313 465 775 939 961 1395 1565 2325 2817 2883 4695 4805 6975 7825 8649 9703 14085 14415 20113 23475 24025 29109 43245 48515 60339 70425 72075 87327 100565 145545 181017 216225 242575 300793 301695 436635 502825 623503 727725 902379 905085 1503965 1508475 1870509 2183175 2707137 3117515 4511895 4525425 5611527 6295369 7519825 9352545 13535685 15587575 18886107 19328593 22559475 28057635 31476845 46762725 56658321 57985779 67678425 94430535 96642965 140288175 157384225 173957337 195156439 283291605 289928895 472152675 483214825 585469317 869786685 975782195 1416458025 1449644475 1756407951 2927346585 4348933425 4878910975 6049849609 8782039755 14636732925 18149548827 30249248045 43910198775 54448646481 90747744135 151246240225 272243232405 453738720675 1361216162025