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27424729052880 = 2435617171851511
BaseRepresentation
bin1100011110001010100010…
…01110111011011011010000
310121002210000112001220021020
412033011101032323123100
512043311321114143010
6134154425133155440
75530241231460165
oct617052116733320
9117083015056236
1027424729052880
118813842653165
1230ab11a32bb80
13123c1aa5b8c63
146ab514a3006c
153285a7e80470
hex18f1513bb6d0

27424729052880 has 80 divisors (see below), whose sum is σ = 85018083506304. Its totient is φ = 7313138634240.

The previous prime is 27424729052879. The next prime is 27424729052971. The reversal of 27424729052880 is 8825092742472.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13886325 + ... + 15737835.

Almost surely, 227424729052880 is an apocalyptic number.

27424729052880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27424729052880 is an abundant number, since it is smaller than the sum of its proper divisors (57593354453424).

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

27424729052880 is a wasteful number, since it uses less digits than its factorization.

27424729052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913244 (or 1913238 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 27424729052880 in words is "twenty-seven trillion, four hundred twenty-four billion, seven hundred twenty-nine million, fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 61717 123434 185151 246868 308585 370302 493736 617170 740604 925755 987472 1234340 1481208 1851510 1851511 2468680 2962416 3703020 3703022 4937360 5554533 7406040 7406044 9257555 11109066 14812080 14812088 18515110 22218132 27772665 29624176 37030220 44436264 55545330 74060440 88872528 111090660 148120880 222181320 444362640 114269704387 228539408774 342809113161 457078817548 571348521935 685618226322 914157635096 1142697043870 1371236452644 1714045565805 1828315270192 2285394087740 2742472905288 3428091131610 4570788175480 5484945810576 6856182263220 9141576350960 13712364526440 27424729052880