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2040554676816 = 2432177311418629
BaseRepresentation
bin11101101100011010100…
…010010110001001010000
321020002000202121220000100
4131230122202112021100
5231413023444124231
64201230132252400
7300265563366315
oct35543242261120
97202022556010
102040554676816
11717437a10817
1228b581771100
1311a567503a66
1470a989a6d0c
153812d52d1e6
hex1db1a896250

2040554676816 has 120 divisors (see below), whose sum is σ = 6129474909480. Its totient is φ = 631404453888.

The previous prime is 2040554676779. The next prime is 2040554676821. The reversal of 2040554676816 is 6186764550402.

2040554676816 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 554 + 6 + 7 + 6 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 475553676816 + 1565001000000 = 689604^2 + 1251000^2 .

It is a congruent number.

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, 5530611 + ... + 5888018.

It is an arithmetic number, because the mean of its divisors is an integer number (51078957579).

Almost surely, 22040554676816 is an apocalyptic number.

It is an amenable number.

2040554676816 is an abundant number, since it is smaller than the sum of its proper divisors (4088920232664).

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

2040554676816 is a wasteful number, since it uses less digits than its factorization.

2040554676816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418733 (or 11418724 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2040554676816 in words is "two trillion, forty billion, five hundred fifty-four million, six hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 73 102 136 144 146 153 204 219 272 292 306 408 438 584 612 657 816 876 1168 1224 1241 1314 1752 2448 2482 2628 3504 3723 4964 5256 7446 9928 10512 11169 14892 19856 22338 29784 44676 59568 89352 178704 11418629 22837258 34255887 45674516 68511774 91349032 102767661 137023548 182698064 194116693 205535322 274047096 388233386 411070644 548094192 582350079 776466772 822141288 833559917 1164700158 1552933544 1644282576 1667119834 1747050237 2329400316 2500679751 3105867088 3334239668 3494100474 4658800632 5001359502 6668479336 6988200948 7502039253 9317601264 10002719004 13336958672 13976401896 14170518589 15004078506 20005438008 27952803792 28341037178 30008157012 40010876016 42511555767 56682074356 60016314024 85023111534 113364148712 120032628048 127534667301 170046223068 226728297424 255069334602 340092446136 510138669204 680184892272 1020277338408 2040554676816