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1361819181636 = 223337445776463
BaseRepresentation
bin10011110100010010101…
…111111010001001000100
311211012002112001021001000
4103310102233322021010
5134303001202303021
62521335555133300
7200250102023544
oct23642257721104
94735075037030
101361819181636
114855a9475351
1219bb1a5a4230
139b55a6cc464
1449cab8a9324
152565621eb26
hex13d12bfa244

1361819181636 has 96 divisors (see below), whose sum is σ = 3626926087680. Its totient is φ = 441566214912.

The previous prime is 1361819181581. The next prime is 1361819181643. The reversal of 1361819181636 is 6361819181631.

1361819181636 is a `hidden beast` number, since 1 + 3 + 618 + 1 + 9 + 1 + 8 + 16 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17771941 + ... + 17848403.

It is an arithmetic number, because the mean of its divisors is an integer number (37780480080).

Almost surely, 21361819181636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361819181636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813463043840).

1361819181636 is an abundant number, since it is smaller than the sum of its proper divisors (2265106906044).

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

1361819181636 is a wasteful number, since it uses less digits than its factorization.

1361819181636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80970 (or 80962 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 1361819181636 in words is "one trillion, three hundred sixty-one billion, eight hundred nineteen million, one hundred eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 4457 8914 13371 17828 26742 40113 53484 76463 80226 120339 152926 160452 164909 229389 240678 305852 329818 458778 481356 494727 659636 688167 917556 989454 1376334 1484181 1978908 2064501 2752668 2829131 2968362 4129002 4452543 5658262 5936724 8258004 8487393 8905086 11316524 16974786 17810172 25462179 33949572 50924358 76386537 101848716 152773074 305546148 340795591 681591182 1022386773 1363182364 2044773546 3067160319 4089547092 6134320638 9201480957 12268641276 12609436867 18402961914 25218873734 36805923828 37828310601 50437747468 75656621202 113484931803 151313242404 226969863606 340454795409 453939727212 680909590818 1361819181636