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273420226816 = 2811229712
BaseRepresentation
bin1111111010100100011…
…1011001000100000000
3222010202010101122112021
43332221013121010000
513434431034224231
6325335120211224
725516415403262
oct3765107310400
9863663348467
10273420226816
11a5a58654300
1244ba7a69b14
131ca25222079
14d33b04bb32
1571a3e85811
hex3fa91d9100

273420226816 has 81 divisors (see below), whose sum is σ = 600100580919. Its totient is φ = 124240089600.

The previous prime is 273420226753. The next prime is 273420226843. The reversal of 273420226816 is 618622024372.

The square root of 273420226816 is 522896.

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

It is a super-2 number, since 2×2734202268162 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92028211 + ... + 92031181.

Almost surely, 2273420226816 is an apocalyptic number.

273420226816 is the 522896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273420226816

273420226816 is an abundant number, since it is smaller than the sum of its proper divisors (326680354103).

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

273420226816 is an frugal number, since it uses more digits than its factorization.

273420226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 273420226816 in words is "two hundred seventy-three billion, four hundred twenty million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 2971 3872 5942 7744 11884 15488 23768 30976 32681 47536 65362 95072 130724 190144 261448 359491 380288 522896 718982 760576 1045792 1437964 2091584 2875928 4183168 5751856 8366336 8826841 11503712 17653682 23007424 35307364 46014848 70614728 92029696 97095251 141229456 194190502 282458912 388381004 564917824 776762008 1068047761 1129835648 1553524016 2136095522 2259671296 3107048032 4272191044 6214096064 8544382088 12428192128 17088764176 24856384256 34177528352 68355056704 136710113408 273420226816