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19834356172820 = 22571935801208277
BaseRepresentation
bin1001000001010000010111…
…10000010000100000010100
32121020010221101101020020112
410200220023300100200110
510044431230140012240
6110103435532022152
74114661556514010
oct440501360204024
977203841336215
1019834356172820
116357780a84aa2
122284045901958
13b0b4aa9b6107
144c7db8d71540
15245e0cbb8665
hex120a0bc10814

19834356172820 has 96 divisors (see below), whose sum is σ = 50109487384320. Its totient is φ = 6442226611200.

The previous prime is 19834356172811. The next prime is 19834356172871. The reversal of 19834356172820 is 2827165343891.

It is a self number, because there is not a number n which added to its sum of digits gives 19834356172820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95126522 + ... + 95334798.

It is an arithmetic number, because the mean of its divisors is an integer number (521973826920).

It is a 2-persistent number, because it is pandigital, and so is 2⋅19834356172820 = 39668712345640, but 3⋅19834356172820 = 59503068518460 is not.

Almost surely, 219834356172820 is an apocalyptic number.

19834356172820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19834356172820 is an abundant number, since it is smaller than the sum of its proper divisors (30275131211500).

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

19834356172820 is a wasteful number, since it uses less digits than its factorization.

19834356172820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244113 (or 244111 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 19834356172820 in words is "nineteen trillion, eight hundred thirty-four billion, three hundred fifty-six million, one hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 35801 71602 143204 179005 208277 250607 358010 416554 501214 680219 716020 833108 1002428 1041385 1253035 1360438 1457939 2082770 2506070 2720876 2915878 3401095 3957263 4165540 4761533 5012140 5831756 6802190 7289695 7914526 9523066 13604380 14579390 15829052 19046132 19786315 23807665 27700841 29158780 39572630 47615330 55401682 79145260 95230660 110803364 138504205 277008410 554016820 7456524877 14913049754 29826099508 37282624385 52195674139 74565248770 104391348278 141673972663 149130497540 208782696556 260978370695 283347945326 521956741390 566695890652 708369863315 991717808641 1043913482780 1416739726630 1983435617282 2833479453260 3966871234564 4958589043205 9917178086410 19834356172820