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2322066085794 = 2337131141141411
BaseRepresentation
bin100001110010100101111…
…011001001011110100010
322012222122210000011212000
4201302211323021132202
5301021042404221134
64534424210544430
7326522651031150
oct41624573113642
98188583004760
102322066085794
11815867850a24
12316047298116
1313ac7bb12c80
14805624563d0
15406079c0e99
hex21ca5ec97a2

2322066085794 has 128 divisors (see below), whose sum is σ = 6351659919360. Its totient is φ = 612344577600.

The previous prime is 2322066085771. The next prime is 2322066085811. The reversal of 2322066085794 is 4975806602232.

2322066085794 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 6 + 60 + 8 + 579 + 4 = 666.

2322066085794 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23220660857942 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2322066085794.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56052949 + ... + 56094359.

It is an arithmetic number, because the mean of its divisors is an integer number (49622343120).

Almost surely, 22322066085794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322066085794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175829959680).

2322066085794 is an abundant number, since it is smaller than the sum of its proper divisors (4029593833566).

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

2322066085794 is a wasteful number, since it uses less digits than its factorization.

2322066085794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52853 (or 52847 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2322066085794 in words is "two trillion, three hundred twenty-two billion, sixty-six million, eighty-five thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 11411 22822 34233 41411 68466 79877 82822 102699 124233 148343 159754 205398 239631 248466 289877 296686 308097 372699 445029 479262 538343 579754 616194 718893 745398 869631 890058 1038401 1076686 1118097 1335087 1437786 1615029 1739262 2076802 2156679 2236194 2608893 2670174 3115203 3230058 3768401 4005261 4313358 4845087 5217786 6230406 7536802 7826679 8010522 9345609 9690174 11305203 14535261 15653358 18691218 22610406 28036827 29070522 33915609 56073654 67831218 101746827 203493654 472540921 945081842 1417622763 2835245526 3307786447 4252868289 6143031973 6615572894 8505736578 9923359341 12286063946 12758604867 18429095919 19846718682 25517209734 29770078023 36858191838 43001223811 55287287757 59540156046 86002447622 89310234069 110574575514 129003671433 165861863271 178620468138 258007342866 331723726542 387011014299 774022028598 1161033042897 2322066085794