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21661635050442 = 23331239257210671
BaseRepresentation
bin1001110110011011111100…
…00011111111101111001010
32211200211110120221221221000
410323031332003333233022
510314401012033103232
6114023115011555430
74364000336635362
oct473157603775712
984624416857830
1021661635050442
1169a17142a5142
12251a2058bbb76
13c118b662270a
1454c6006179a2
152787074e227c
hex13b37e0ffbca

21661635050442 has 128 divisors (see below), whose sum is σ = 50092071321600. Its totient is φ = 6931278950400.

The previous prime is 21661635050399. The next prime is 21661635050477. The reversal of 21661635050442 is 24405053616612.

21661635050442 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 1 + 635 + 0 + 5 + 0 + 4 + 4 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102716767 + ... + 102927437.

It is an arithmetic number, because the mean of its divisors is an integer number (391344307200).

Almost surely, 221661635050442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21661635050442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25046035660800).

21661635050442 is an abundant number, since it is smaller than the sum of its proper divisors (28430436271158).

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

21661635050442 is a wasteful number, since it uses less digits than its factorization.

21661635050442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211209 (or 211203 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 21661635050442 in words is "twenty-one trillion, six hundred sixty-one billion, six hundred thirty-five million, fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 239 257 279 478 514 558 717 771 837 1434 1542 1674 2151 2313 4302 4626 6453 6939 7409 7967 12906 13878 14818 15934 22227 23901 44454 47802 61423 66681 71703 122846 133362 143406 184269 200043 210671 215109 368538 400086 421342 430218 552807 632013 1105614 1264026 1658421 1896039 1904113 3316842 3792078 3808226 5688117 5712339 6530801 11376234 11424678 13061602 17137017 19592403 34274034 39184806 50350369 51411051 54142447 58777209 100700738 102822102 108284894 117554418 151051107 162427341 176331627 302102214 324854682 352663254 453153321 487282023 906306642 974564046 1359459963 1461846069 1560861439 1678415857 2718919926 2923692138 3121722878 3356831714 4682584317 5035247571 9365168634 10070495142 12940044833 14047752951 15105742713 25880089666 28095505902 30211485426 38820134499 42143258853 45317228139 77640268998 84286517706 90634456278 116460403497 232920806994 349381210491 401141389823 698762420982 802282779646 1203424169469 2406848338938 3610272508407 7220545016814 10830817525221 21661635050442