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554000353344 = 2632310132
BaseRepresentation
bin10000000111111001111…
…11101000100001000000
31221221222020101220000100
420003330333220201000
533034043042301334
61102300530122400
755011434210004
oct10037477504100
91857866356010
10554000353344
111a3a4a836199
128b451720400
134031b903c89
141cb56d5a704
15e6267bcc99
hex80fcfe8840

554000353344 has 63 divisors (see below), whose sum is σ = 1587993189133. Its totient is φ = 184660829952.

The previous prime is 554000353337. The next prime is 554000353451. The reversal of 554000353344 is 443353000455.

The square root of 554000353344 is 744312.

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

554000353344 is a `hidden beast` number, since 554 + 0 + 0 + 0 + 35 + 33 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 892814400 + 553107538944 = 29880^2 + 743712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 554000353299 and 554000353308.

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, 17847982 + ... + 17878994.

Almost surely, 2554000353344 is an apocalyptic number.

554000353344 is the 744312-nd square number.

It is an amenable number.

554000353344 is an abundant number, since it is smaller than the sum of its proper divisors (1033992835789).

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

554000353344 is an frugal number, since it uses more digits than its factorization.

554000353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62044 (or 31018 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Multiplying 554000353344 by its sum of digits (36), we get a square (19944012720384 = 44658722).

554000353344 divided by its sum of digits (36) gives a square (15388898704 = 1240522).

Adding to 554000353344 its reverse (443353000455), we get a palindrome (997353353799).

The spelling of 554000353344 in words is "five hundred fifty-four billion, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 31013 62026 93039 124052 186078 248104 279117 372156 496208 558234 744312 992416 1116468 1488624 1984832 2232936 2977248 4465872 5954496 8931744 17863488 961806169 1923612338 2885418507 3847224676 5770837014 7694449352 8656255521 11541674028 15388898704 17312511042 23083348056 30777797408 34625022084 46166696112 61555594816 69250044168 92333392224 138500088336 184666784448 277000176672 554000353344