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19778698642140 = 22325196709862013
BaseRepresentation
bin1000111111101000101100…
…10011101000001011011100
32121000211021111220201112100
410133310112103220023130
510043023233323022030
6110022113030005100
74110651406353504
oct437642623501334
977024244821470
1019778698642140
11633610a832459
1222752b21a6790
13b0617aac7bc9
144c54190dca04
152447517d8360
hex11fd164e82dc

19778698642140 has 144 divisors (see below), whose sum is σ = 63162524224800. Its totient is φ = 4995973292544.

The previous prime is 19778698642111. The next prime is 19778698642163. The reversal of 19778698642140 is 4124689687791.

19778698642140 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 86 + 9 + 86 + 421 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22513774 + ... + 23375786.

It is an arithmetic number, because the mean of its divisors is an integer number (438628640450).

Almost surely, 219778698642140 is an apocalyptic number.

19778698642140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19778698642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31581262112400).

19778698642140 is an abundant number, since it is smaller than the sum of its proper divisors (43383825582660).

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

19778698642140 is a wasteful number, since it uses less digits than its factorization.

19778698642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868756 (or 868751 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 19778698642140 in words is "nineteen trillion, seven hundred seventy-eight billion, six hundred ninety-eight million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6709 13418 20127 26836 33545 40254 60381 67090 80508 100635 120762 127471 134180 201270 241524 254942 301905 382413 402540 509884 603810 637355 764826 862013 1147239 1207620 1274710 1529652 1724026 1912065 2294478 2549420 2586039 3448052 3824130 4310065 4588956 5172078 5736195 7648260 7758117 8620130 10344156 11472390 12930195 15516234 16378247 17240260 22944780 25860390 31032468 32756494 38790585 49134741 51720780 65512988 77581170 81891235 98269482 147404223 155162340 163782470 196538964 245673705 294808446 327564940 491347410 589616892 737021115 982694820 1474042230 2948084460 5783245217 11566490434 17349735651 23132980868 28916226085 34699471302 52049206953 57832452170 69398942604 86748678255 104098413906 109881659123 115664904340 173497356510 208196827812 219763318246 260246034765 329644977369 346994713020 439526636492 520492069530 549408295615 659289954738 988934932107 1040984139060 1098816591230 1318579909476 1648224886845 1977869864214 2197633182460 3296449773690 3955739728428 4944674660535 6592899547380 9889349321070 19778698642140