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61006050011106 = 232229116891266157
BaseRepresentation
bin11011101111100000100111…
…11100001010011111100010
322000000010021111222100110200
431313300103330022133202
530444010342300323411
6333425443101410030
715564353535065004
oct1567602374123742
9260003244870420
1061006050011106
111849057a896982
126a1346a869916
132806acc3a3255
14110c9cc48a374
1570bd9252ee56
hex377c13f0a7e2

61006050011106 has 48 divisors (see below), whose sum is σ = 132768441569400. Its totient is φ = 20244801256704.

The previous prime is 61006050011051. The next prime is 61006050011129. The reversal of 61006050011106 is 60111005060016.

It can be written as a sum of positive squares in 4 ways, for example, as 59605981281081 + 1400068730025 = 7720491^2 + 1183245^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61006050011106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47548980 + ... + 48815136.

Almost surely, 261006050011106 is an apocalyptic number.

61006050011106 is an abundant number, since it is smaller than the sum of its proper divisors (71762391558294).

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

61006050011106 is a wasteful number, since it uses less digits than its factorization.

61006050011106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278083 (or 1278080 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 61006050011106 in words is "sixty-one trillion, six billion, fifty million, eleven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 4122 11689 23378 35067 70134 105201 210402 1266157 2532314 2676781 3798471 5353562 7596942 8030343 11395413 16060686 22790826 24091029 48182058 289949953 579899906 869849859 1739699718 2609549577 5219099154 14800109173 29600218346 44400327519 88800655038 133200982557 266401965114 3389225000617 6778450001234 10167675001851 20335350003702 30503025005553 61006050011106