Search a number
-
+
1721323056420 = 22325111304366653
BaseRepresentation
bin11001000011000110110…
…110010110110100100100
320002120000222000022200100
4121003012312112310210
5211200232200301140
63354433114544100
7235234663365552
oct31030666266444
96076028008610
101721323056420
11604010a99470
1223972b738030
13c642125ba16
145d453636bd2
152eb977d1530
hex190c6d96d24

1721323056420 has 144 divisors (see below), whose sum is σ = 5696536652352. Its totient is φ = 417252184320.

The previous prime is 1721323056407. The next prime is 1721323056433. The reversal of 1721323056420 is 246503231271.

1721323056420 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 3 + 2 + 3 + 0 + 5 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1721323056407) and next prime (1721323056433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25791814 + ... + 25858466.

It is an arithmetic number, because the mean of its divisors is an integer number (39559282308).

Almost surely, 21721323056420 is an apocalyptic number.

1721323056420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1721323056420 is an abundant number, since it is smaller than the sum of its proper divisors (3975213595932).

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

1721323056420 is a wasteful number, since it uses less digits than its factorization.

1721323056420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79722 (or 79717 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 1721323056420 its reverse (246503231271), we get a palindrome (1967826287691).

The spelling of 1721323056420 in words is "one trillion, seven hundred twenty-one billion, three hundred twenty-three million, fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 13043 26086 39129 52172 65215 66653 78258 117387 130430 133306 143473 156516 195645 199959 234774 260860 266612 286946 333265 391290 399918 430419 469548 573892 586935 599877 666530 717365 733183 782580 799836 860838 999795 1173870 1199754 1291257 1333060 1434730 1466366 1721676 1999590 2152095 2199549 2347740 2399508 2582514 2869460 2932732 2999385 3665915 3999180 4304190 4399098 5165028 5998770 6456285 6598647 7331830 8608380 8798196 10997745 11997540 12912570 13197294 14663660 21995490 25825140 26394588 32993235 43990980 65986470 131972940 869355079 1738710158 2608065237 3477420316 4346775395 5216130474 7824195711 8693550790 9562905869 10432260948 13040326185 15648391422 17387101580 19125811738 26080652370 28688717607 31296782844 38251623476 39120978555 47814529345 52161304740 57377435214 78241957110 86066152821 95629058690 114754870428 143443588035 156483914220 172132305642 191258117380 286887176070 344264611284 430330764105 573774352140 860661528210 1721323056420