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27621329344 = 2671931104677
BaseRepresentation
bin11001101110010111…
…000000100111000000
32122021222101220122221
4121232113000213000
5423032030014334
620404500540424
71665324265660
oct315627004700
978258356587
1027621329344
111079457a614
12542a3b1714
1327b263697b
1414a057c1a0
15ab9db78b4
hex66e5c09c0

27621329344 has 112 divisors (see below), whose sum is σ = 68065822720. Its totient is φ = 10852807680.

The previous prime is 27621329339. The next prime is 27621329423. The reversal of 27621329344 is 44392312672.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 27621329344.

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, 211534 + ... + 316210.

It is an arithmetic number, because the mean of its divisors is an integer number (607730560).

Almost surely, 227621329344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27621329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34032911360).

27621329344 is an abundant number, since it is smaller than the sum of its proper divisors (40444493376).

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

27621329344 is a wasteful number, since it uses less digits than its factorization.

27621329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104746 (or 104736 counting only the distinct ones).

The product of its digits is 435456, while the sum is 43.

The spelling of 27621329344 in words is "twenty-seven billion, six hundred twenty-one million, three hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 133 152 217 224 248 266 304 434 448 496 532 589 608 868 992 1064 1178 1216 1736 1984 2128 2356 3472 4123 4256 4712 6944 8246 8512 9424 13888 16492 18848 32984 37696 65968 104677 131936 209354 263872 418708 732739 837416 1465478 1674832 1988863 2930956 3244987 3349664 3977726 5861912 6489974 6699328 7955452 11723824 12979948 13922041 15910904 22714909 23447648 25959896 27844082 31821808 45429818 46895296 51919792 55688164 61654753 63643616 90859636 103839584 111376328 123309506 127287232 181719272 207679168 222752656 246619012 363438544 431583271 445505312 493238024 726877088 863166542 891010624 986476048 1453754176 1726333084 1972952096 3452666168 3945904192 6905332336 13810664672 27621329344