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201048211455 = 357132355711497
BaseRepresentation
bin1011101100111101101…
…0000011111111111111
3201012221101200100021220
42323033122003333333
511243221320231310
6232205452524423
720345106413040
oct2731732037777
9635841610256
10201048211455
117829a523a63
1232b6a780713
1315c60539640
149a333bc8c7
15536a4ca670
hex2ecf683fff

201048211455 has 128 divisors (see below), whose sum is σ = 413901508608. Its totient is φ = 80996585472.

The previous prime is 201048211453. The next prime is 201048211471. The reversal of 201048211455 is 554112840102.

It is a Cunningham number, because it is equal to 4483842-1.

It is not a de Polignac number, because 201048211455 - 21 = 201048211453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201048211453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17481267 + ... + 17492763.

It is an arithmetic number, because the mean of its divisors is an integer number (3233605536).

Almost surely, 2201048211455 is an apocalyptic number.

201048211455 is an abundant number, since it is smaller than the sum of its proper divisors (212853297153).

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

201048211455 is a wasteful number, since it uses less digits than its factorization.

201048211455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105.

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 201048211455 in words is "two hundred one billion, forty-eight million, two hundred eleven thousand, four hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 23 35 39 65 69 91 105 115 161 195 273 299 345 455 483 557 805 897 1365 1495 1671 2093 2415 2785 3899 4485 6279 7241 8355 10465 11497 11697 12811 19495 21723 31395 34491 36205 38433 50687 57485 58485 64055 80479 89677 108615 149461 152061 166543 172455 192165 241437 253435 264431 269031 402395 448383 448385 499629 747305 760305 793293 832715 1046227 1165801 1207185 1322155 1345155 1851017 2241915 2498145 3138681 3437603 3497403 3966465 5231135 5553051 5829005 6403829 9255085 10312809 15693405 17188015 17487015 19211487 24063221 27765255 32019145 44826803 51564045 72189663 83249777 96057435 120316105 134480409 147288067 224134015 249749331 360948315 416248885 441864201 582748439 672402045 736440335 1031016469 1248746655 1748245317 1914744871 2209321005 2913742195 3093049407 5155082345 5744234613 8741226585 9573724355 13403214097 15465247035 28721173065 40209642291 67016070485 201048211455