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27731341680 = 2435716506751
BaseRepresentation
bin11001110100111010…
…101011000101110000
32122120122102010012220
4121310322223011300
5423243210413210
620423430521040
72001131341440
oct316472530560
978518363186
1027731341680
111084068a4a9
12545b206180
1327cc374823
1414b1018120
15ac4898c70
hex674eab170

27731341680 has 80 divisors (see below), whose sum is σ = 98248187904. Its totient is φ = 6338592000.

The previous prime is 27731341657. The next prime is 27731341691. The reversal of 27731341680 is 8614313772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×277313416802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8251696 + ... + 8255055.

Almost surely, 227731341680 is an apocalyptic number.

27731341680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27731341680 is an abundant number, since it is smaller than the sum of its proper divisors (70516846224).

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

27731341680 is a wasteful number, since it uses less digits than its factorization.

27731341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506774 (or 16506768 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 27731341680 in words is "twenty-seven billion, seven hundred thirty-one million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 16506751 33013502 49520253 66027004 82533755 99040506 115547257 132054008 165067510 198081012 231094514 247601265 264108016 330135020 346641771 396162024 462189028 495202530 577736285 660270040 693283542 792324048 924378056 990405060 1155472570 1320540080 1386567084 1733208855 1848756112 1980810120 2310945140 2773134168 3466417710 3961620240 4621890280 5546268336 6932835420 9243780560 13865670840 27731341680