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55055551120 = 24529314118671
BaseRepresentation
bin110011010001100100…
…010000101010010000
312021002220201202222221
4303101210100222100
51400223210113440
641143035310424
73656220314563
oct632144205220
9167086652887
1055055551120
1121392472479
12a805bab414
13526527b5ab
142943d324da
151673620d4a
hexcd1910a90

55055551120 has 160 divisors (see below), whose sum is σ = 140031037440. Its totient is φ = 20073984000.

The previous prime is 55055551073. The next prime is 55055551121. The reversal of 55055551120 is 2115555055.

It is a super-2 number, since 2×550555511202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55055551121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2939385 + ... + 2958055.

It is an arithmetic number, because the mean of its divisors is an integer number (875193984).

Almost surely, 255055551120 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 55055551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70015518720).

55055551120 is an abundant number, since it is smaller than the sum of its proper divisors (84975486320).

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

55055551120 is a wasteful number, since it uses less digits than its factorization.

55055551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18785 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 31250, while the sum is 34.

The spelling of 55055551120 in words is "fifty-five billion, fifty-five million, five hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 41 58 62 80 82 116 124 145 155 164 205 232 248 290 310 328 410 464 496 580 620 656 820 899 1160 1189 1240 1271 1640 1798 2320 2378 2480 2542 3280 3596 4495 4756 5084 5945 6355 7192 8990 9512 10168 11890 12710 14384 17980 18671 19024 20336 23780 25420 35960 36859 37342 47560 50840 71920 73718 74684 93355 95120 101680 147436 149368 184295 186710 294872 298736 368590 373420 541459 578801 589744 737180 746840 765511 1082918 1157602 1474360 1493680 1531022 2165836 2315204 2707295 2894005 2948720 3062044 3827555 4331672 4630408 5414590 5788010 6124088 7655110 8663344 9260816 10829180 11576020 12248176 15310220 16785229 21658360 22199819 23152040 23730841 30620440 33570458 43316720 44399638 46304080 47461682 61240880 67140916 83926145 88799276 94923364 110999095 118654205 134281832 167852290 177598552 189846728 221998190 237308410 268563664 335704580 355197104 379693456 443996380 474616820 671409160 688194389 887992760 949233640 1342818320 1376388778 1775985520 1898467280 2752777556 3440971945 5505555112 6881943890 11011110224 13763887780 27527775560 55055551120