Search a number
-
+
27019243872 = 253531112087
BaseRepresentation
bin11001001010011110…
…001111000101100000
32120202000110210200000
4121022132033011200
5420313411300442
620225032100000
71644363532515
oct311236170540
976660423600
1027019243872
1110505727915
1252a0834600
13271798aa8a
14144461130c
15a820d6d4c
hex64a78f160

27019243872 has 144 divisors (see below), whose sum is σ = 82252864512. Its totient is φ = 8715807360.

The previous prime is 27019243837. The next prime is 27019243931. The reversal of 27019243872 is 27834291072.

27019243872 is a `hidden beast` number, since 27 + 0 + 192 + 438 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185013 + ... + 297099.

It is an arithmetic number, because the mean of its divisors is an integer number (571200448).

Almost surely, 227019243872 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 27019243872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126432256).

27019243872 is an abundant number, since it is smaller than the sum of its proper divisors (55233620640).

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

27019243872 is a wasteful number, since it uses less digits than its factorization.

27019243872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112143 (or 112123 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27019243872 in words is "twenty-seven billion, nineteen million, two hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 5022 6696 7533 7776 8928 10044 13392 15066 20088 26784 30132 40176 60264 80352 112087 120528 224174 241056 336261 448348 672522 896696 1008783 1345044 1793392 2017566 2690088 3026349 3474697 3586784 4035132 5380176 6052698 6949394 8070264 9079047 10424091 10760352 12105396 13898788 16140528 18158094 20848182 24210792 27237141 27797576 31272273 32281056 36316188 41696364 48421584 54474282 55595152 62544546 72632376 83392728 93816819 96843168 108948564 111190304 125089092 145264752 166785456 187633638 217897128 250178184 281450457 290529504 333570912 375267276 435794256 500356368 562900914 750534552 844351371 871588512 1000712736 1125801828 1501069104 1688702742 2251603656 3002138208 3377405484 4503207312 6754810968 9006414624 13509621936 27019243872