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55344554540 = 225112318795821
BaseRepresentation
bin110011100010110010…
…101110001000101100
312021212001112200011022
4303202302232020230
51401321201221130
641231441513312
73666326644262
oct634262561054
9167761480138
1055344554540
1121520615a80
12a886942838
1352b00c9032
142970482432
15168dbab7e5
hexce2cae22c

55344554540 has 96 divisors (see below), whose sum is σ = 132395074560. Its totient is φ = 19236729600.

The previous prime is 55344554539. The next prime is 55344554543. The reversal of 55344554540 is 4545544355.

It is a super-2 number, since 2×553445545402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 55344554491 and 55344554500.

It is not an unprimeable number, because it can be changed into a prime (55344554543) 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 31 ways as a sum of consecutive naturals, for example, 9504830 + ... + 9510650.

It is an arithmetic number, because the mean of its divisors is an integer number (1379115360).

Almost surely, 255344554540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55344554540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66197537280).

55344554540 is an abundant number, since it is smaller than the sum of its proper divisors (77050520020).

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

55344554540 is a wasteful number, since it uses less digits than its factorization.

55344554540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 44.

The spelling of 55344554540 in words is "fifty-five billion, three hundred forty-four million, five hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1879 2530 3758 5060 5821 7516 9395 11642 18790 20669 23284 29105 37580 41338 43217 58210 64031 82676 86434 103345 116420 128062 133883 172868 206690 216085 256124 267766 320155 413380 432170 475387 535532 640310 669415 864340 950774 1280620 1338830 1472713 1901548 2376935 2677660 2945426 4753870 5890852 7363565 9507740 10937659 14727130 21875318 29454260 43750636 54688295 109376590 120314249 218753180 240628498 251566157 481256996 503132314 601571245 1006264628 1203142490 1257830785 2406284980 2515661570 2767227727 5031323140 5534455454 11068910908 13836138635 27672277270 55344554540