Search a number
-
+
19922415663228 = 22313475934582103
BaseRepresentation
bin1001000011110100011001…
…00000100011100001111100
32121112120020101211211122020
410201322030200203201330
510102402101402210403
6110212121552320140
74124230014031131
oct441721440434174
977476211754566
1019922415663228
11639105a2a1551
122299120843050
13b168a2790060
144cc37025c588
152483639d4453
hex121e8c82387c

19922415663228 has 96 divisors (see below), whose sum is σ = 51212820105216. Its totient is φ = 5989430479872.

The previous prime is 19922415663173. The next prime is 19922415663287. The reversal of 19922415663228 is 82236651422991.

It is a super-2 number, since 2×199224156632282 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2056825 + ... + 6638927.

It is an arithmetic number, because the mean of its divisors is an integer number (533466876096).

Almost surely, 219922415663228 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 19922415663228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25606410052608).

19922415663228 is an abundant number, since it is smaller than the sum of its proper divisors (31290404441988).

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

19922415663228 is a wasteful number, since it uses less digits than its factorization.

19922415663228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582763 (or 4582761 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 19922415663228 in words is "nineteen trillion, nine hundred twenty-two billion, four hundred fifteen million, six hundred sixty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 593 611 1186 1222 1779 1833 2372 2444 3558 3666 7116 7332 7709 15418 23127 27871 30836 46254 55742 83613 92508 111484 167226 334452 362323 724646 1086969 1449292 2173938 4347876 4582103 9164206 13746309 18328412 27492618 54985236 59567339 119134678 178702017 215358841 238269356 357404034 430717682 646076523 714808068 861435364 1292153046 2584306092 2717187079 2799664933 5434374158 5599329866 8151561237 8398994799 10868748316 11198659732 16303122474 16797989598 32606244948 33595979196 35323432027 70646864054 105970296081 127707792713 141293728108 211940592162 255415585426 383123378139 423881184324 510831170852 766246756278 1532493512556 1660201305269 3320402610538 4980603915807 6640805221076 9961207831614 19922415663228