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2165058895068 = 2233421434910949
BaseRepresentation
bin11111100000010111100…
…100001111110011011100
321122222101200021111101000
4133200113210033303130
5240433020034120233
64334340405550300
7312264114651336
oct37402744176334
97588350244330
102165058895068
11765218337763
122ab729a15390
13129219910914
1476b0a1d6456
153b4b8b56d13
hex1f81790fcdc

2165058895068 has 96 divisors (see below), whose sum is σ = 5628256200000. Its totient is φ = 719740788480.

The previous prime is 2165058895057. The next prime is 2165058895123. The reversal of 2165058895068 is 8605988505612.

2165058895068 is a `hidden beast` number, since 2 + 16 + 505 + 8 + 8 + 9 + 50 + 68 = 666.

It is a super-2 number, since 2×21650588950682 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2165058894996 and 2165058895014.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 197734858 + ... + 197745806.

It is an arithmetic number, because the mean of its divisors is an integer number (58627668750).

Almost surely, 22165058895068 is an apocalyptic number.

It is an amenable number.

2165058895068 is an abundant number, since it is smaller than the sum of its proper divisors (3463197304932).

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

2165058895068 is a wasteful number, since it uses less digits than its factorization.

2165058895068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15732 (or 15724 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 2165058895068 in words is "two trillion, one hundred sixty-five billion, fifty-eight million, eight hundred ninety-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 421 842 1263 1684 2526 3789 4349 5052 7578 8698 10949 11367 13047 15156 17396 21898 22734 26094 32847 39141 43796 45468 52188 65694 78282 98541 117423 131388 156564 197082 234846 295623 394164 469692 591246 1182492 1830929 3661858 4609529 5492787 7323716 9219058 10985574 13828587 16478361 18438116 21971148 27657174 32956722 41485761 47617201 49435083 55314348 65913444 82971522 95234402 98870166 124457283 142851603 165943044 190468804 197740332 248914566 285703206 428554809 497829132 571406412 857109618 1285664427 1714219236 2571328854 5142657708 20046841621 40093683242 60140524863 80187366484 120281049726 180421574589 240562099452 360843149178 541264723767 721686298356 1082529447534 2165058895068