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55417801140 = 223251329816649
BaseRepresentation
bin110011100111001010…
…001000100110110100
312022001011100222121100
4303213022020212310
51401443424114030
641243015450100
74001206352232
oct634712104664
9168034328540
1055417801140
11215589a4259
12a8a7386930
1352c2333510
14297a0ab952
151695329360
hexce72889b4

55417801140 has 144 divisors (see below), whose sum is σ = 187274178000. Its totient is φ = 13170898944.

The previous prime is 55417801091. The next prime is 55417801141. The reversal of 55417801140 is 4110871455.

55417801140 is a `hidden beast` number, since 5 + 541 + 78 + 0 + 1 + 1 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15548094864 + 39869706276 = 124692^2 + 199674^2 .

It is a super-2 number, since 2×554178011402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55417801095 and 55417801104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55417801141) 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, 340465 + ... + 476184.

It is an arithmetic number, because the mean of its divisors is an integer number (1300515125).

Almost surely, 255417801140 is an apocalyptic number.

It is an amenable number.

55417801140 is an abundant number, since it is smaller than the sum of its proper divisors (131856376860).

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

55417801140 is a wasteful number, since it uses less digits than its factorization.

55417801140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816706 (or 816701 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 55417801140 in words is "fifty-five billion, four hundred seventeen million, eight hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 816649 1633298 2449947 3266596 4083245 4899894 7349841 8166490 9799788 10616437 12249735 14699682 16332980 21232874 23682821 24499470 29399364 31849311 36749205 42465748 47365642 48998940 53082185 63698622 71048463 73498410 94731284 95547933 106164370 118414105 127397244 142096926 146996820 159246555 191095866 212328740 213145389 236828210 284193852 307876673 318493110 355242315 382191732 426290778 473656420 477739665 615753346 636986220 710484630 852581556 923630019 955479330 1065726945 1231506692 1420969260 1539383365 1847260038 1910958660 2131453890 2770890057 3078766730 3694520076 4262907780 4618150095 5541780114 6157533460 9236300190 11083560228 13854450285 18472600380 27708900570 55417801140