Search a number
-
+
1055505610060 = 2251121393137837
BaseRepresentation
bin11110101110000010000…
…10010111010101001100
310201220110000000120021121
433113001002113111030
5114243133414010220
62124520444210324
7136154261440036
oct17270102272514
93656400016247
101055505610060
11377701444300
121506928399a4
13786c28648a5
1439130050c56
151c6c9637eaa
hexf5c109754c

1055505610060 has 72 divisors (see below), whose sum is σ = 2453914829520. Its totient is φ = 381058803840.

The previous prime is 1055505610039. The next prime is 1055505610079. The reversal of 1055505610060 is 600165055501.

It is a super-2 number, since 2×10555056100602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055505609998 and 1055505610025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232539 + ... + 1905298.

It is an arithmetic number, because the mean of its divisors is an integer number (34082150410).

Almost surely, 21055505610060 is an apocalyptic number.

1055505610060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055505610060 is an abundant number, since it is smaller than the sum of its proper divisors (1398409219460).

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

1055505610060 is a wasteful number, since it uses less digits than its factorization.

1055505610060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138007 (or 3137994 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 1055505610060 in words is "one trillion, fifty-five billion, five hundred five million, six hundred ten thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 139 220 242 278 484 556 605 695 1210 1390 1529 2420 2780 3058 6116 7645 15290 16819 30580 33638 67276 84095 168190 336380 3137837 6275674 12551348 15689185 31378370 34516207 62756740 69032414 138064828 172581035 345162070 379678277 436159343 690324140 759356554 872318686 1518713108 1744637372 1898391385 2180796715 3796782770 4361593430 4797752773 7593565540 8723186860 9595505546 19191011092 23988763865 47977527730 52775280503 95955055460 105550561006 211101122012 263876402515 527752805030 1055505610060