Search a number
-
+
1055606060106 = 2321343122385781
BaseRepresentation
bin11110101110001110000…
…01100011010001001010
310201220201000000221211200
433113013001203101022
5114243340122410411
62124534433205030
7136156621315233
oct17270701432112
93656630027750
101055606060106
11377753112974
12150700400776
137870a6051a0
143913d51c08a
151c6d337ae56
hexf5c706344a

1055606060106 has 96 divisors (see below), whose sum is σ = 2522451964032. Its totient is φ = 316985235840.

The previous prime is 1055606060021. The next prime is 1055606060141. The reversal of 1055606060106 is 6010606065501.

It is a super-2 number, since 2×10556060601062 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12262936 + ... + 12348716.

It is an arithmetic number, because the mean of its divisors is an integer number (26275541292).

Almost surely, 21055606060106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055606060106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261225982016).

1055606060106 is an abundant number, since it is smaller than the sum of its proper divisors (1466845903926).

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

1055606060106 is a wasteful number, since it uses less digits than its factorization.

1055606060106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87068 (or 87065 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1055606060106 in words is "one trillion, fifty-five billion, six hundred six million, sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1223 1677 2446 3354 3669 5031 7338 10062 11007 15899 22014 31798 47697 52589 85781 95394 105178 143091 157767 171562 257343 286182 315534 473301 514686 683657 772029 946602 1115153 1367314 1544058 2050971 2230306 3345459 3688583 4101942 6152913 6690918 7377166 10036377 11065749 12305826 20072754 22131498 33197247 47951579 66394494 95903158 104910163 143854737 209820326 287709474 314730489 431564211 629460978 863128422 944191467 1363832119 1888382934 2727664238 4091496357 4511137009 8182992714 9022274018 12274489071 13533411027 24548978142 27066822054 40600233081 58644781117 81200466162 117289562234 175934343351 351868686702 527803030053 1055606060106