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553054540410 = 232519165948821
BaseRepresentation
bin10000000110001001001…
…11101001001001111010
31221212112022200121120200
420003010213221021322
533030123430243120
61102023022103030
754646131012621
oct10030447511172
91855468617520
10553054540410
111a3604962a09
128b228a1aa76
13401ca989c58
141caa74b66b8
15e5bd741e90
hex80c49e927a

553054540410 has 96 divisors (see below), whose sum is σ = 1447693378560. Its totient is φ = 146483433600.

The previous prime is 553054540387. The next prime is 553054540417. The reversal of 553054540410 is 14045450355.

553054540410 is a `hidden beast` number, since 5 + 5 + 30 + 545 + 40 + 41 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (553054540417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11303800 + ... + 11352620.

It is an arithmetic number, because the mean of its divisors is an integer number (15080139360).

Almost surely, 2553054540410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553054540410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723846689280).

553054540410 is an abundant number, since it is smaller than the sum of its proper divisors (894638838150).

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

553054540410 is a wasteful number, since it uses less digits than its factorization.

553054540410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49684 (or 49681 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 553054540410 its reverse (14045450355), we get a palindrome (567099990765).

The spelling of 553054540410 in words is "five hundred fifty-three billion, fifty-four million, five hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 659 955 1146 1318 1719 1910 1977 2865 3295 3438 3954 5730 5931 6590 8595 9885 11862 17190 19770 29655 48821 59310 97642 125869 146463 244105 251738 292926 377607 439389 488210 629345 732315 755214 878778 1132821 1258690 1464630 1888035 2196945 2265642 3776070 4393890 5664105 9324811 11328210 18649622 27974433 32173039 46624055 55948866 64346078 83923299 93248110 96519117 139872165 160865195 167846598 193038234 279744330 289557351 321730390 419616495 482595585 579114702 839232990 965191170 1447786755 2895573510 6145050449 12290100898 18435151347 30725252245 36870302694 55305454041 61450504490 92175756735 110610908082 184351513470 276527270205 553054540410