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21660410640464 = 24192361325915583
BaseRepresentation
bin1001110110011001101010…
…00101001111100001010000
32211200201022021000111012022
410323030311011033201100
510314341010110443324
6114022353312351012
74363625111423111
oct473146505174120
984621267014168
1021660410640464
1169a1146136872
122519b23845468
13c1174ca6277b
1454c525b72208
15278684c8405e
hex13b33514f850

21660410640464 has 160 divisors (see below), whose sum is σ = 46869590630400. Its totient is φ = 9649630932480.

The previous prime is 21660410640461. The next prime is 21660410640469. The reversal of 21660410640464 is 46404601406612.

It is a super-2 number, since 2×216604106404642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21660410640461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389994817 + ... + 1390010399.

It is an arithmetic number, because the mean of its divisors is an integer number (292934941440).

Almost surely, 221660410640464 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 21660410640464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23434795315200).

21660410640464 is an abundant number, since it is smaller than the sum of its proper divisors (25209179989936).

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

21660410640464 is a wasteful number, since it uses less digits than its factorization.

21660410640464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18953 (or 18947 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 21660410640464 in words is "twenty-one trillion, six hundred sixty billion, four hundred ten million, six hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 38 46 61 76 92 122 152 184 244 304 368 437 488 874 976 1159 1403 1748 2318 2806 3259 3496 4636 5612 6518 6992 9272 11224 13036 15583 18544 22448 26072 26657 31166 52144 53314 61921 62332 74957 106628 123842 124664 149914 198799 213256 247684 249328 296077 299828 358409 397598 426512 495368 592154 599656 716818 795196 950563 990736 1184308 1199312 1424183 1433636 1590392 1901126 2368616 2848366 2867272 3180784 3777181 3802252 4572377 4737232 5696732 5734544 6809771 7554362 7604504 9144754 11393464 13619542 15108724 15209008 18060697 18289508 21862949 22786928 27239084 30217448 36121394 36579016 43725898 50784997 54478168 60434896 72242788 73158032 86875163 87451796 101569994 108956336 144485576 173750326 174903592 203139988 288971152 347500652 349807184 406279976 415396031 695001304 812559952 830792062 964914943 1168054931 1390002608 1661584124 1929829886 2336109862 3097884817 3323168248 3859659772 4672219724 6195769634 6646336496 7719319544 9344439448 12391539268 15438639088 18688878896 22193043689 24783078536 44386087378 49566157072 58859811523 71251350791 88772174756 117719623046 142502701582 177544349512 235439246092 285005403164 355088699024 470878492184 570010806328 941756984368 1140021612656 1353775665029 2707551330058 5415102660116 10830205320232 21660410640464