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2783055387996 = 22321336793717293
BaseRepresentation
bin101000011111111011000…
…001110001110101011100
3100212001112220201010002100
4220133323001301311130
5331044144134403441
65530303515325100
7405032464323642
oct50377301616534
910761486633070
102783055387996
11983318237804
1238b45b750790
13172596b412c0
14989b4633192
154c5d88d8cb6
hex287fb071d5c

2783055387996 has 144 divisors (see below), whose sum is σ = 7605285810304. Its totient is φ = 853030683648.

The previous prime is 2783055387991. The next prime is 2783055387997. The reversal of 2783055387996 is 6997835503872.

It is a happy number.

2783055387996 is a `hidden beast` number, since 2 + 7 + 83 + 0 + 5 + 538 + 7 + 9 + 9 + 6 = 666.

It is a super-2 number, since 2×27830553879962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783055387991) 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 47 ways as a sum of consecutive naturals, for example, 160926726 + ... + 160944018.

Almost surely, 22783055387996 is an apocalyptic number.

2783055387996 is a gapful number since it is divisible by the number (26) 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 2783055387996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802642905152).

2783055387996 is an abundant number, since it is smaller than the sum of its proper divisors (4822230422308).

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

2783055387996 is a wasteful number, since it uses less digits than its factorization.

2783055387996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620 (or 18615 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 2783055387996 in words is "two trillion, seven hundred eighty-three billion, fifty-five million, three hundred eighty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 367 468 734 937 1101 1468 1874 2202 2811 3303 3748 4404 4771 5622 6606 8433 9542 11244 12181 13212 14313 16866 17293 19084 24362 28626 33732 34586 36543 42939 48724 51879 57252 69172 73086 85878 103758 109629 146172 155637 171756 207516 219258 224809 311274 343879 438516 449618 622548 674427 687758 899236 1031637 1348854 1375516 2023281 2063274 2697708 3094911 4046562 4126548 4470427 6189822 6346531 8093124 8940854 12379644 12693062 13411281 16203541 17881708 19039593 25386124 26822562 32407082 38079186 40233843 48610623 53645124 57118779 64814164 76158372 80467686 82504903 97221246 114237558 145831869 160935372 165009806 194442492 210646033 228475116 247514709 291663738 330019612 421292066 495029418 583327476 631938099 742544127 842584132 990058836 1263876198 1485088254 1895814297 2527752396 2970176508 3791628594 5946699547 7583257188 11893399094 17840098641 23786798188 35680197282 53520295923 71360394564 77307094111 107040591846 154614188222 214081183692 231921282333 309228376444 463842564666 695763846999 927685129332 1391527693998 2783055387996