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5611780189392 = 2431319166171233
BaseRepresentation
bin101000110101001100000…
…1010100010110011010000
3201212110222121110210210020
41101222120022202303100
51213420411212030032
615534003301103440
71116303100366506
oct121523012426320
921773877423706
105611780189392
111873a40688773
127677259b7b80
1331925b483b30
1415587c38a676
159ae96890b2c
hex51a982a2cd0

5611780189392 has 160 divisors (see below), whose sum is σ = 15717963319296. Its totient is φ = 1715038617600.

The previous prime is 5611780189381. The next prime is 5611780189439. The reversal of 5611780189392 is 2939810871165.

It is a super-2 number, since 2×56117801893922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78745008 + ... + 78816240.

Almost surely, 25611780189392 is an apocalyptic number.

5611780189392 is a gapful number since it is divisible by the number (52) 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 5611780189392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858981659648).

5611780189392 is an abundant number, since it is smaller than the sum of its proper divisors (10106183129904).

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

5611780189392 is a wasteful number, since it uses less digits than its factorization.

5611780189392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72109 (or 72103 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 5611780189392 in words is "five trillion, six hundred eleven billion, seven hundred eighty million, one hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 624 661 764 1146 1322 1528 1983 2292 2483 2644 3056 3966 4584 4966 5288 7449 7932 8593 9168 9932 10576 14898 15864 17186 19864 25779 29796 31728 34372 39728 51558 59592 68744 71233 103116 119184 126251 137488 142466 206232 213699 252502 284932 378753 412464 427398 505004 569864 757506 854796 926029 1010008 1139728 1515012 1641263 1709592 1852058 2020016 2778087 3030024 3282526 3419184 3704116 4923789 5556174 6060048 6565052 7408232 9847578 11112348 13130104 13605503 14816464 19695156 22224696 26260208 27211006 39390312 40816509 44449392 47085013 54422012 78780624 81633018 94170026 108844024 141255039 163266036 176871539 188340052 217688048 282510078 326532072 353743078 376680104 530614617 565020156 612105169 653064144 707486156 753360208 1061229234 1130040312 1224210338 1414972312 1836315507 2122458468 2260080624 2448420676 2829944624 3672631014 4244916936 4896841352 7345262028 8489833872 8993237483 9793682704 14690524056 17986474966 26979712449 29381048112 35972949932 53959424898 71945899864 107918849796 116912087279 143891799728 215837699592 233824174558 350736261837 431675399184 467648349116 701472523674 935296698232 1402945047348 1870593396464 2805890094696 5611780189392