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2016872171886 = 23111323364115739
BaseRepresentation
bin11101010110010110111…
…100110000100101101110
321010210220021210222200010
4131112112330300211232
5231021023234000021
64142312134114050
7265466654412405
oct35262674604556
97123807728603
102016872171886
117083948412a0
12286a724ab926
13118261c1c730
146d88d5b663c
15376e4354976
hex1d596f3096e

2016872171886 has 128 divisors (see below), whose sum is σ = 4767010859520. Its totient is φ = 560826777600.

The previous prime is 2016872171869. The next prime is 2016872171887. The reversal of 2016872171886 is 6881712786102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016872171887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 128137005 + ... + 128152743.

It is an arithmetic number, because the mean of its divisors is an integer number (37242272340).

Almost surely, 22016872171886 is an apocalyptic number.

2016872171886 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016872171886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383505429760).

2016872171886 is an abundant number, since it is smaller than the sum of its proper divisors (2750138687634).

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

2016872171886 is a wasteful number, since it uses less digits than its factorization.

2016872171886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642.

The product of its (nonzero) digits is 3612672, while the sum is 57.

The spelling of 2016872171886 in words is "two trillion, sixteen billion, eight hundred seventy-two million, one hundred seventy-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 233 286 429 466 641 699 858 1282 1398 1923 2563 3029 3846 5126 6058 7051 7689 8333 9087 14102 15378 15739 16666 18174 21153 24999 31478 33319 42306 47217 49998 66638 91663 94434 99957 149353 173129 183326 199914 204607 274989 298706 346258 409214 448059 519387 549978 613821 896118 1038774 1227642 1642883 1941589 2250677 3285766 3667187 3883178 4501354 4928649 5824767 6752031 7334374 9857298 10088699 11001561 11649534 13504062 20177398 21357479 22003122 30266097 40339057 42714958 47673431 60532194 64072437 80678114 95346862 110975689 121017171 128144874 131153087 143020293 221951378 242034342 262306174 286040586 332927067 393459261 524407741 665854134 786918522 1048815482 1442683957 1573223223 2350666867 2885367914 3146446446 4328051871 4701333734 7052000601 8656103742 14104001202 25857335537 30558669271 51714671074 61117338542 77572006611 91676007813 155144013222 183352015626 336145361981 672290723962 1008436085943 2016872171886