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2711140411172 = 2217194348800137
BaseRepresentation
bin100111011100111100100…
…011111010011100100100
3100121011221000222202212012
4213130330203322130210
5323404403421124142
65433251500013352
7366605405156324
oct47347443723444
910534830882765
102711140411172
119558740a0266
1237952b531258
13168875a4b18b
1495311575284
154a7ca10c882
hex2773c8fa724

2711140411172 has 48 divisors (see below), whose sum is σ = 5410959301440. Its totient is φ = 1180572890112.

The previous prime is 2711140411159. The next prime is 2711140411193.

2711140411172 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24344513 + ... + 24455624.

It is an arithmetic number, because the mean of its divisors is an integer number (112728318780).

Almost surely, 22711140411172 is an apocalyptic number.

It is an amenable number.

2711140411172 is a deficient number, since it is larger than the sum of its proper divisors (2699818890268).

2711140411172 is a wasteful number, since it uses less digits than its factorization.

2711140411172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48800220 (or 48800218 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The spelling of 2711140411172 in words is "two trillion, seven hundred eleven billion, one hundred forty million, four hundred eleven thousand, one hundred seventy-two".

Divisors: 1 2 4 17 19 34 38 43 68 76 86 172 323 646 731 817 1292 1462 1634 2924 3268 13889 27778 55556 48800137 97600274 195200548 829602329 927202603 1659204658 1854405206 2098405891 3318409316 3708810412 4196811782 8393623564 15762444251 31524888502 35672900147 39869711929 63049777004 71345800294 79739423858 142691600588 159478847716 677785102793 1355570205586 2711140411172