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27773158040 = 23519711313929
BaseRepresentation
bin11001110111011010…
…001100001010011000
32122200120002121110222
4121313122030022120
5423334412024130
620431523055212
72002146643145
oct316732141230
978616077428
1027773158040
1110862250781
125471211508
132807c26034
1414b67c13cc
15ac83a8ce5
hex67768c298

27773158040 has 128 divisors (see below), whose sum is σ = 67231296000. Its totient is φ = 10294502400.

The previous prime is 27773158031. The next prime is 27773158051. The reversal of 27773158040 is 4085137772.

It is a junction number, because it is equal to n+sod(n) for n = 27773157982 and 27773158000.

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, 7066796 + ... + 7070724.

It is an arithmetic number, because the mean of its divisors is an integer number (525244500).

Almost surely, 227773158040 is an apocalyptic number.

27773158040 is a gapful number since it is divisible by the number (20) 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 27773158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33615648000).

27773158040 is an abundant number, since it is smaller than the sum of its proper divisors (39458137960).

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

27773158040 is a wasteful number, since it uses less digits than its factorization.

27773158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 27773158040 in words is "twenty-seven billion, seven hundred seventy-three million, one hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 131 142 152 190 262 284 355 380 524 568 655 710 760 1048 1310 1349 1420 2489 2620 2698 2840 3929 4978 5240 5396 6745 7858 9301 9956 10792 12445 13490 15716 18602 19645 19912 24890 26980 31432 37204 39290 46505 49780 53960 74408 74651 78580 93010 99560 149302 157160 176719 186020 278959 298604 353438 372040 373255 514699 557918 597208 706876 746510 883595 1029398 1115836 1394795 1413752 1493020 1767190 2058796 2231672 2573495 2789590 2986040 3534380 4117592 5146990 5300221 5579180 7068760 9779281 10293980 10600442 11158360 19558562 20587960 21200884 26501105 36543629 39117124 42401768 48896405 53002210 73087258 78234248 97792810 106004420 146174516 182718145 195585620 212008840 292349032 365436290 391171240 694328951 730872580 1388657902 1461745160 2777315804 3471644755 5554631608 6943289510 13886579020 27773158040