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19821620197836 = 223231157443255371
BaseRepresentation
bin1001000000111000101001…
…01000010111100111001100
32121011221001210101200000100
410200130110220113213030
510044224134232312321
6110053532051531100
74114031140513422
oct440342450274714
977157053350010
1019821620197836
116352335942536
1222816905b9a90
13b0a22b227742
144c752b6d3112
15245914a1b326
hex120714a179cc

19821620197836 has 144 divisors (see below), whose sum is σ = 52168062256128. Its totient is φ = 6338978006400.

The previous prime is 19821620197831. The next prime is 19821620197853. The reversal of 19821620197836 is 63879102612891.

It is not an unprimeable number, because it can be changed into a prime (19821620197831) by changing a digit.

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, 77491231 + ... + 77746601.

It is an arithmetic number, because the mean of its divisors is an integer number (362278210112).

Almost surely, 219821620197836 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 19821620197836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084031128064).

19821620197836 is an abundant number, since it is smaller than the sum of its proper divisors (32346442058292).

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

19821620197836 is a wasteful number, since it uses less digits than its factorization.

19821620197836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256012 (or 256007 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 19821620197836 in words is "nineteen trillion, eight hundred twenty-one billion, six hundred twenty million, one hundred ninety-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 157 186 279 314 372 443 471 558 628 886 942 1116 1329 1413 1772 1884 2658 2826 3987 4867 5316 5652 7974 9734 13733 14601 15948 19468 27466 29202 41199 43803 54932 58404 69551 82398 87606 123597 139102 164796 175212 208653 247194 255371 278204 417306 494388 510742 625959 766113 834612 1021484 1251918 1532226 2156081 2298339 2503836 3064452 4312162 4596678 6468243 7916501 8624324 9193356 12936486 15833002 19404729 23749503 25872972 31666004 38809458 40093247 47499006 71248509 77618916 80186494 94998012 113129353 120279741 142497018 160372988 226258706 240559482 284994036 339388059 360839223 452517412 481118964 678776118 721678446 1018164177 1242890657 1357552236 1443356892 2036328354 2485781314 3507009943 3728671971 4072656708 4971562628 7014019886 7457343942 10521029829 11186015913 14028039772 14914687884 17761308421 21042059658 22372031826 31563089487 35522616842 42084119316 44744063652 53283925263 63126178974 71045233684 106567850526 126252357948 159851775789 213135701052 319703551578 550600561051 639407103156 1101201122102 1651801683153 2202402244204 3303603366306 4955405049459 6607206732612 9910810098918 19821620197836