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27390234010624 = 21041239892
BaseRepresentation
bin1100011101001010010010…
…01010110010010000000000
310120222110222111120012010121
412032211021022302100000
512042230144401314444
6134130522204510024
75524610350446652
oct616451112622000
9116873874505117
1027390234010624
118800151045381
1230a44b1b4b314
131238b70b94b54
146a99a160a6d2
153277398e7084
hex18e9492b2400

27390234010624 has 99 divisors (see below), whose sum is σ = 56135821090891. Its totient is φ = 13357740277760.

The previous prime is 27390234010613. The next prime is 27390234010631. The reversal of 27390234010624 is 42601043209372.

The square root of 27390234010624 is 5233568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8544911156224 + 18845322854400 = 2923168^2 + 4341120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6866439222 + ... + 6866443210.

Almost surely, 227390234010624 is an apocalyptic number.

27390234010624 is the 5233568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27390234010624

27390234010624 is an abundant number, since it is smaller than the sum of its proper divisors (28745587080267).

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

27390234010624 is an frugal number, since it uses more digits than its factorization.

27390234010624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 4032 counting only the distinct ones).

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

Adding to 27390234010624 its reverse (42601043209372), we get a palindrome (69991277219996).

The spelling of 27390234010624 in words is "twenty-seven trillion, three hundred ninety billion, two hundred thirty-four million, ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1681 2624 3362 3989 5248 6724 7978 10496 13448 15956 20992 26896 31912 41984 53792 63824 107584 127648 163549 215168 255296 327098 430336 510592 654196 860672 1021184 1308392 1721344 2042368 2616784 4084736 5233568 6705509 10467136 13411018 15912121 20934272 26822036 31824242 41868544 53644072 63648484 83737088 107288144 127296968 167474176 214576288 254593936 429152576 509187872 652396961 858305152 1018375744 1304793922 1716610304 2036751488 2609587844 3433220608 4073502976 5219175688 6866441216 8147005952 10438351376 16294011904 20876702752 26748275401 41753405504 53496550802 83506811008 106993101604 167013622016 213986203208 334027244032 427972406416 668054488064 855944812832 1711889625664 3423779251328 6847558502656 13695117005312 27390234010624