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27127204992 = 273316694703
BaseRepresentation
bin11001010000111010…
…000100110010000000
32121000112121210111000
4121100322010302000
5421024031024432
620243450052000
71650144303126
oct312072046200
977015553430
1027127204992
1110560666688
125310a1a000
13273415b0b4
141454ab5916
15a8b81057c
hex650e84c80

27127204992 has 128 divisors (see below), whose sum is σ = 80127936000. Its totient is φ = 9035062272.

The previous prime is 27127204961. The next prime is 27127205029. The reversal of 27127204992 is 29940272172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5765713 + ... + 5770415.

It is an arithmetic number, because the mean of its divisors is an integer number (625999500).

Almost surely, 227127204992 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 27127204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40063968000).

27127204992 is an abundant number, since it is smaller than the sum of its proper divisors (53000731008).

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

27127204992 is a wasteful number, since it uses less digits than its factorization.

27127204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27127204992 in words is "twenty-seven billion, one hundred twenty-seven million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1669 1728 3338 3456 4703 5007 6676 9406 10014 13352 14109 15021 18812 20028 26704 28218 30042 37624 40056 42327 45063 53408 56436 60084 75248 80112 84654 90126 106816 112872 120168 126981 150496 160224 169308 180252 213632 225744 240336 253962 300992 320448 338616 360504 451488 480672 507924 601984 640896 677232 721008 902976 961344 1015848 1354464 1442016 1805952 1922688 2031696 2708928 2884032 4063392 5417856 5768064 7849307 8126784 15698614 16253568 23547921 31397228 47095842 62794456 70643763 94191684 125588912 141287526 188383368 211931289 251177824 282575052 376766736 423862578 502355648 565150104 753533472 847725156 1004711296 1130300208 1507066944 1695450312 2260600416 3014133888 3390900624 4521200832 6781801248 9042401664 13563602496 27127204992