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1361784337488 = 243327755720431
BaseRepresentation
bin10011110100010000101…
…010111111010001010000
311211012000002110222212000
4103310100222333101100
5134302413242244423
62521332312234000
7200246166611241
oct23642052772120
94735002428760
101361784337488
11485590836433
1219bb0a99b900
139b55341c613
1449ca6dd8cc8
152565313a843
hex13d10abf450

1361784337488 has 160 divisors (see below), whose sum is σ = 3930172024320. Its totient is φ = 451455275520.

The previous prime is 1361784337481. The next prime is 1361784337499. The reversal of 1361784337488 is 8847334871631.

1361784337488 is a `hidden beast` number, since 1 + 3 + 61 + 78 + 433 + 74 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361784337481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66642633 + ... + 66663063.

It is an arithmetic number, because the mean of its divisors is an integer number (24563575152).

Almost surely, 21361784337488 is an apocalyptic number.

1361784337488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361784337488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965086012160).

1361784337488 is an abundant number, since it is smaller than the sum of its proper divisors (2568387686832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361784337488 is a wasteful number, since it uses less digits than its factorization.

1361784337488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21282 (or 21270 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 1361784337488 in words is "one trillion, three hundred sixty-one billion, seven hundred eighty-four million, three hundred thirty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 277 432 554 557 831 1108 1114 1662 1671 2216 2228 2493 3324 3342 4432 4456 4986 5013 6648 6684 7479 8912 9972 10026 13296 13368 14958 15039 19944 20052 20431 26736 29916 30078 39888 40104 40862 59832 60156 61293 80208 81724 119664 120312 122586 154289 163448 183879 240624 245172 308578 326896 367758 462867 490344 551637 617156 735516 925734 980688 1103274 1234312 1388601 1471032 1851468 2206548 2468624 2777202 2942064 3702936 4165803 4413096 5554404 5659387 7405872 8331606 8826192 11108808 11318774 11380067 16663212 16978161 22217616 22637548 22760134 33326424 33956322 34140201 45275096 45520268 50934483 66652848 67912644 68280402 90550192 91040536 101868966 102420603 135825288 136560804 152803449 182081072 203737932 204841206 271650576 273121608 305606898 307261809 407475864 409682412 546243216 611213796 614523618 814951728 819364824 1222427592 1229047236 1638729648 2444855184 2458094472 3152278559 4916188944 6304557118 9456835677 12609114236 18913671354 25218228472 28370507031 37827342708 50436456944 56741014062 75654685416 85111521093 113482028124 151309370832 170223042186 226964056248 340446084372 453928112496 680892168744 1361784337488