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27771246132 = 22372314374351
BaseRepresentation
bin11001110111010010…
…111001011000110100
32122200102111110211120
4121313102321120310
5423333414334012
620431414103540
72002124461110
oct316722713064
978612443746
1027771246132
1110861165293
12547064abb0
132807706a26
1414b6444740
15ac812c58c
hex6774b9634

27771246132 has 48 divisors (see below), whose sum is σ = 77276516352. Its totient is φ = 7589656800.

The previous prime is 27771246101. The next prime is 27771246149. The reversal of 27771246132 is 23164217772.

It is a super-2 number, since 2×277712461322 (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7185244 + ... + 7189107.

It is an arithmetic number, because the mean of its divisors is an integer number (1609927424).

Almost surely, 227771246132 is an apocalyptic number.

It is an amenable number.

27771246132 is an abundant number, since it is smaller than the sum of its proper divisors (49505270220).

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

27771246132 is a wasteful number, since it uses less digits than its factorization.

27771246132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14374388 (or 14374386 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The spelling of 27771246132 in words is "twenty-seven billion, seven hundred seventy-one million, two hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 14374351 28748702 43123053 57497404 86246106 100620457 172492212 201240914 301861371 330610073 402481828 603722742 661220146 991830219 1207445484 1322440292 1983660438 2314270511 3967320876 4628541022 6942811533 9257082044 13885623066 27771246132