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2200520912512 = 271337103347003
BaseRepresentation
bin100000000001011001010…
…001000110111010000000
321210100221002022122002111
4200001121101012322000
5242023131323200022
64402523320025104
7314660650065316
oct40013121067200
97710832278074
102200520912512
1177926576229a
122b6586002194
1312c67b77b1b0
1478711c0c0b6
153c39204b477
hex20059446e80

2200520912512 has 128 divisors (see below), whose sum is σ = 4895754514560. Its totient is φ = 978578952192.

The previous prime is 2200520912461. The next prime is 2200520912531. The reversal of 2200520912512 is 2152190250022.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6168003 + ... + 6515005.

It is an arithmetic number, because the mean of its divisors is an integer number (38248082145).

Almost surely, 22200520912512 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 2200520912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447877257280).

2200520912512 is an abundant number, since it is smaller than the sum of its proper divisors (2695233602048).

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

2200520912512 is a wasteful number, since it uses less digits than its factorization.

2200520912512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347170 (or 347158 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 2200520912512 in words is "two trillion, two hundred billion, five hundred twenty million, nine hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 103 104 128 148 206 208 296 412 416 481 592 824 832 962 1184 1339 1648 1664 1924 2368 2678 3296 3811 3848 4736 5356 6592 7622 7696 10712 13184 15244 15392 21424 30488 30784 42848 49543 60976 61568 85696 99086 121952 171392 198172 243904 347003 396344 487808 694006 792688 1388012 1585376 2776024 3170752 4511039 5552048 6341504 9022078 11104096 12839111 18044156 22208192 25678222 35741309 36088312 44416384 51356444 71482618 72176624 102712888 142965236 144353248 166908443 205425776 285930472 288706496 333816886 410851552 464637017 571860944 577412992 667633772 821703104 929274034 1143721888 1322428433 1335267544 1643406208 1858548068 2287443776 2644856866 2670535088 3717096136 4574887552 5289713732 5341070176 7434192272 10579427464 10682140352 14868384544 17191569629 21158854928 21364280704 29736769088 34383139258 42317709856 59473538176 68766278516 84635419712 137532557032 169270839424 275065114064 550130228128 1100260456256 2200520912512