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27238861764 = 22345321732
BaseRepresentation
bin11001010111100100…
…000000101111000100
32121022022201112210000
4121113210000233010
5421241122034024
620302515201300
71653001335102
oct312744005704
977268645700
1027238861764
111060869a004
1253422a6230
1327513235aa
14146585cc72
15a96518cc9
hex657900bc4

27238861764 has 135 divisors (see below), whose sum is σ = 72998600983. Its totient is φ = 8856813888.

The previous prime is 27238861759. The next prime is 27238861799. The reversal of 27238861764 is 46716883272.

The square root of 27238861764 is 165042.

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 11543783364 + 15695078400 = 107442^2 + 125280^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27238861764.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157449982 + ... + 157450154.

Almost surely, 227238861764 is an apocalyptic number.

27238861764 is the 165042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27238861764

27238861764 is an abundant number, since it is smaller than the sum of its proper divisors (45759739219).

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

27238861764 is an equidigital number, since it uses as much as digits as its factorization.

27238861764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 231 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 27238861764 in words is "twenty-seven billion, two hundred thirty-eight million, eight hundred sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 173 212 318 324 346 477 519 636 692 954 1038 1431 1557 1908 2076 2809 2862 3114 4293 4671 5618 5724 6228 8427 8586 9169 9342 11236 14013 16854 17172 18338 18684 25281 27507 28026 29929 33708 36676 50562 55014 56052 59858 75843 82521 89787 101124 110028 119716 151686 165042 179574 227529 247563 269361 303372 330084 359148 455058 485957 495126 538722 742689 808083 910116 971914 990252 1077444 1457871 1485378 1586237 1616166 1943828 2424249 2915742 2970756 3172474 3232332 4373613 4758711 4848498 5831484 6344948 8747226 9517422 9696996 13120839 14276133 17494452 19034844 26241678 28552266 39362517 42828399 52483356 57104532 78725034 84070561 85656798 128485197 157450068 168141122 171313596 252211683 256970394 336282244 504423366 513940788 756635049 1008846732 1513270098 2269905147 3026540196 4539810294 6809715441 9079620588 13619430882 27238861764