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212356441605 = 357114131314327
BaseRepresentation
bin1100010111000101101…
…1100010011000000101
3202022010111002221210210
43011301123202120011
511434401222112410
6241315531310033
721225250654050
oct3056133423005
9668114087723
10212356441605
1182072747710
12351a58ab319
1317043283b99
14a3c71a5a97
1557cd152220
hex31716e2605

212356441605 has 128 divisors (see below), whose sum is σ = 435358457856. Its totient is φ = 85818470400.

The previous prime is 212356441597. The next prime is 212356441663. The reversal of 212356441605 is 506144653212.

It is not a de Polignac number, because 212356441605 - 23 = 212356441597 is a prime.

It is a super-2 number, since 2×2123564416052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14814952 + ... + 14829278.

It is an arithmetic number, because the mean of its divisors is an integer number (3401237952).

Almost surely, 2212356441605 is an apocalyptic number.

It is an amenable number.

212356441605 is an abundant number, since it is smaller than the sum of its proper divisors (223002016251).

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

212356441605 is a wasteful number, since it uses less digits than its factorization.

212356441605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 212356441605 in words is "two hundred twelve billion, three hundred fifty-six million, four hundred forty-one thousand, six hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 205 231 287 313 385 451 615 861 939 1155 1353 1435 1565 2191 2255 3157 3443 4305 4695 6573 6765 9471 10329 10955 12833 14327 15785 17215 24101 32865 38499 42981 47355 51645 64165 71635 72303 89831 100289 120505 141163 157597 192495 214905 269493 300867 361515 423489 449155 472791 501445 587407 705815 787985 988141 1103179 1347465 1504335 1762221 2117445 2363955 2937035 2964423 3309537 4111849 4484351 4940705 5515895 6461477 8811105 12335547 13453053 14822115 16547685 19384431 20559245 22421755 31390457 32307385 45230339 49327861 61677735 67265265 94171371 96922155 135691017 147983583 156952285 183858391 226151695 246639305 345295027 470856855 551575173 678455085 739917915 919291955 1035885081 1287008737 1726475135 2022442301 2757875865 3861026211 5179425405 6067326903 6435043685 10112211505 14157096107 19305131055 30336634515 42471288321 70785480535 212356441605