Search a number
-
+
19048189510152 = 23331119421942883
BaseRepresentation
bin1000101010011000000001…
…00100011100001000001000
32111102222201002002211122000
410111030000210130020020
54444041143003311102
6104302341212031000
74004120615241345
oct425140044341010
974388632084560
1019048189510152
1160843234363a0
122177800162460
13a8230c96435a
1449bd19cdb7cc
1523074908801c
hex11530091c208

19048189510152 has 128 divisors (see below), whose sum is σ = 60759775296000. Its totient is φ = 5468379750720.

The previous prime is 19048189510139. The next prime is 19048189510153. The reversal of 19048189510152 is 25101598184091.

19048189510152 is a `hidden beast` number, since 1 + 9 + 0 + 48 + 1 + 89 + 510 + 1 + 5 + 2 = 666.

It is a super-3 number, since 3×190481895101523 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19048189510153) by changing a digit.

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, 210926298 + ... + 211016585.

It is an arithmetic number, because the mean of its divisors is an integer number (474685744500).

Almost surely, 219048189510152 is an apocalyptic number.

19048189510152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19048189510152 is an abundant number, since it is smaller than the sum of its proper divisors (41711585785848).

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

19048189510152 is a wasteful number, since it uses less digits than its factorization.

19048189510152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421942928 (or 421942918 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 19048189510152 in words is "nineteen trillion, forty-eight billion, one hundred eighty-nine million, five hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22572 45144 421942883 843885766 1265828649 1687771532 2531657298 3375543064 3797485947 4641371713 5063314596 7594971894 8016914777 9282743426 10126629192 11392457841 13924115139 15189943788 16033829554 18565486852 22784915682 24050744331 27848230278 30379887576 32067659108 37130973704 41772345417 45569831364 48101488662 55696460556 64135318216 72152232993 83544690834 88186062547 91139662728 96202977324 111392921112 125317036251 144304465986 167089381668 176372125094 192405954648 216456698979 250634072502 264558187641 288608931972 334178763336 352744250188 432913397958 501268145004 529116375282 577217863944 705488500376 793674562923 865826795916 1002536290008 1058232750564 1587349125846 1731653591832 2116465501128 2381023688769 3174698251692 4762047377538 6349396503384 9524094755076 19048189510152