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27894751350 = 23521098272063
BaseRepresentation
bin11001111110101010…
…000010000001110110
32200000000220012010220
4121332222002001312
5424112024020400
620451545155210
72005154321454
oct317652020166
980000805126
1027894751350
1110914950614
1254a5a8bb06
13282718a23b
1414c89d39d4
15ad3dc67a0
hex67ea82076

27894751350 has 96 divisors (see below), whose sum is σ = 69931952640. Its totient is φ = 7357875840.

The previous prime is 27894751319. The next prime is 27894751361. The reversal of 27894751350 is 5315749872.

It is a junction number, because it is equal to n+sod(n) for n = 27894751293 and 27894751302.

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 47 ways as a sum of consecutive naturals, for example, 13520419 + ... + 13522481.

It is an arithmetic number, because the mean of its divisors is an integer number (728457840).

Almost surely, 227894751350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27894751350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34965976320).

27894751350 is an abundant number, since it is smaller than the sum of its proper divisors (42037201290).

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

27894751350 is a wasteful number, since it uses less digits than its factorization.

27894751350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 27894751350 in words is "twenty-seven billion, eight hundred ninety-four million, seven hundred fifty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 545 654 827 1090 1635 1654 2063 2481 2725 3270 4126 4135 4962 5450 6189 8175 8270 10315 12378 12405 16350 20630 20675 24810 30945 41350 51575 61890 62025 90143 103150 124050 154725 180286 224867 270429 309450 449734 450715 540858 674601 901430 1124335 1349202 1352145 1706101 2248670 2253575 2704290 3373005 3412202 4507150 5118303 5621675 6746010 6760725 8530505 10236606 11243350 13521450 16865025 17061010 25591515 33730050 42652525 51183030 85305050 127957575 185965009 255915150 371930018 557895027 929825045 1115790054 1859650090 2789475135 4649125225 5578950270 9298250450 13947375675 27894751350