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270547700164 = 22725327012
BaseRepresentation
bin1111101111110111100…
…1100100100111000100
3221212022221020011202021
43323331321210213010
513413040202401124
6324142104052524
725355265336100
oct3737571444704
9855287204667
10270547700164
11a481413a535
1244525a64144
131c688080261
14d147748900
157086bc17e4
hex3efde649c4

270547700164 has 81 divisors (see below), whose sum is σ = 562147464711. Its totient is φ = 113599012800.

The previous prime is 270547700119. The next prime is 270547700197. The reversal of 270547700164 is 461007745072.

The square root of 270547700164 is 520142.

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 94993404100 + 175554296064 = 308210^2 + 418992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 270547700164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 385945014 + ... + 385945714.

Almost surely, 2270547700164 is an apocalyptic number.

270547700164 is the 520142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270547700164

270547700164 is an abundant number, since it is smaller than the sum of its proper divisors (291599764547).

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

270547700164 is an frugal number, since it uses more digits than its factorization.

270547700164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 270547700164 in words is "two hundred seventy billion, five hundred forty-seven million, seven hundred thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 701 742 1402 1484 2597 2804 2809 4907 5194 5618 9814 10388 11236 19628 19663 34349 37153 39326 68698 74306 78652 137396 137641 148612 260071 275282 491401 520142 550564 982802 1040284 1820497 1965604 1969109 3439807 3640994 3938218 6879614 7281988 7876436 13759228 13783763 24078649 26044253 27567526 48157298 52088506 55135052 96314596 96486341 104177012 182309771 192972682 364619542 385945364 729239084 1276168397 1380345409 2552336794 2760690818 5104673588 5521381636 9662417863 19324835726 38649671452 67636925041 135273850082 270547700164