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1055542553000 = 235313389208729
BaseRepresentation
bin11110101110000110011…
…11010010100110101000
310201220112120112110110122
433113003033102212220
5114243222343144000
62124524244102412
7136155220443305
oct17270317224650
93656476473418
101055542553000
11377720287061
121506a3094a08
13786ca3cab10
1439134d0a0ac
151c6cc9d4085
hexf5c33d29a8

1055542553000 has 128 divisors (see below), whose sum is σ = 2666817972000. Its totient is φ = 388735027200.

The previous prime is 1055542552973. The next prime is 1055542553027. The reversal of 1055542553000 is 3552455501.

It is an interprime number because it is at equal distance from previous prime (1055542552973) and next prime (1055542553027).

It can be written as a sum of positive squares in 16 ways, for example, as 181089398116 + 874453154884 = 425546^2 + 935122^2 .

It is a super-2 number, since 2×10555425530002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4952636 + ... + 5161364.

Almost surely, 21055542553000 is an apocalyptic number.

1055542553000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055542553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333408986000).

1055542553000 is an abundant number, since it is smaller than the sum of its proper divisors (1611275419000).

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

1055542553000 is a wasteful number, since it uses less digits than its factorization.

1055542553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209152 (or 209138 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 1055542553000 in words is "one trillion, fifty-five billion, five hundred forty-two million, five hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 389 500 520 650 778 1000 1300 1556 1625 1945 2600 3112 3250 3890 5057 6500 7780 9725 10114 13000 15560 19450 20228 25285 38900 40456 48625 50570 77800 97250 101140 126425 194500 202280 208729 252850 389000 417458 505700 632125 834916 1011400 1043645 1264250 1669832 2087290 2528500 2713477 4174580 5057000 5218225 5426954 8349160 10436450 10853908 13567385 20872900 21707816 26091125 27134770 41745800 52182250 54269540 67836925 81195581 104364500 108539080 135673850 162391162 208729000 271347700 324782324 339184625 405977905 542695400 649564648 678369250 811955810 1055542553 1356738500 1623911620 2029889525 2111085106 2713477000 3247823240 4059779050 4222170212 5277712765 8119558100 8444340424 10149447625 10555425530 16239116200 20298895250 21110851060 26388563825 40597790500 42221702120 52777127650 81195581000 105554255300 131942819125 211108510600 263885638250 527771276500 1055542553000