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1365780822648 = 2331119601453053
BaseRepresentation
bin10011110111111110111…
…000010111101001111000
311211120022121120110211220
4103313332320113221320
5134334104342311043
62523233034552040
7200450215305414
oct23677670275170
94746277513756
101365780822648
11487251739930
121a0845298620
139ba3c3b0238
144a165ab5d44
15257d8e19483
hex13dfee17a78

1365780822648 has 128 divisors (see below), whose sum is σ = 3927434515200. Its totient is φ = 391436928000.

The previous prime is 1365780822643. The next prime is 1365780822649. The reversal of 1365780822648 is 8462280875631.

It is a junction number, because it is equal to n+sod(n) for n = 1365780822591 and 1365780822600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365780822641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788090 + ... + 3241142.

It is an arithmetic number, because the mean of its divisors is an integer number (30683082150).

Almost surely, 21365780822648 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 1365780822648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963717257600).

1365780822648 is an abundant number, since it is smaller than the sum of its proper divisors (2561653692552).

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

1365780822648 is a wasteful number, since it uses less digits than its factorization.

1365780822648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453693 (or 453689 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 1365780822648 in words is "one trillion, three hundred sixty-five billion, seven hundred eighty million, eight hundred twenty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 601 627 836 1202 1254 1672 1803 2404 2508 3606 4808 5016 6611 7212 11419 13222 14424 19833 22838 26444 34257 39666 45676 52888 68514 79332 91352 125609 137028 158664 251218 274056 376827 453053 502436 753654 906106 1004872 1359159 1507308 1812212 2718318 3014616 3624424 4983583 5436636 8608007 9967166 10873272 14950749 17216014 19934332 25824021 29901498 34432028 39868664 51648042 59802996 68864056 94688077 103296084 119605992 189376154 206592168 272284853 284064231 378752308 544569706 568128462 757504616 816854559 1089139412 1136256924 1633709118 2178278824 2272513848 2995133383 3267418236 5173412207 5990266766 6534836472 8985400149 10346824414 11980533532 15520236621 17970800298 20693648828 23961067064 31040473242 35941600596 41387297656 56907534277 62080946484 71883201192 113815068554 124161892968 170722602831 227630137108 341445205662 455260274216 682890411324 1365780822648