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2049640222272 = 263531071882421
BaseRepresentation
bin11101110100111000000…
…100111100111001000000
321020221110221200102022220
4131310320010330321000
5232040130344103042
64205331451131040
7301036665301116
oct35647004747100
97227427612286
102049640222272
1172027a520575
12291298443a80
1311b384906566
14712bb4c9ab6
15384b0ea68ec
hex1dd3813ce40

2049640222272 has 112 divisors (see below), whose sum is σ = 5576968832832. Its totient is φ = 664057538560.

The previous prime is 2049640222261. The next prime is 2049640222327. The reversal of 2049640222272 is 2722220469402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147622 + ... + 2030042.

Almost surely, 22049640222272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049640222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788484416416).

2049640222272 is an abundant number, since it is smaller than the sum of its proper divisors (3527328610560).

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

2049640222272 is a wasteful number, since it uses less digits than its factorization.

2049640222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882596 (or 1882586 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2049640222272 in words is "two trillion, forty-nine billion, six hundred forty million, two hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 107 159 192 212 214 318 321 424 428 636 642 848 856 1272 1284 1696 1712 2544 2568 3392 3424 5088 5136 5671 6848 10176 10272 11342 17013 20544 22684 34026 45368 68052 90736 136104 181472 272208 362944 544416 1088832 1882421 3764842 5647263 7529684 11294526 15059368 22589052 30118736 45178104 60237472 90356208 99768313 120474944 180712416 199536626 201419047 299304939 361424832 399073252 402838094 598609878 604257141 798146504 805676188 1197219756 1208514282 1596293008 1611352376 2394439512 2417028564 3192586016 3222704752 4788879024 4834057128 6385172032 6445409504 9577758048 9668114256 10675209491 12890819008 19155516096 19336228512 21350418982 32025628473 38672457024 42700837964 64051256946 85401675928 128102513892 170803351856 256205027784 341606703712 512410055568 683213407424 1024820111136 2049640222272