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19973977937992 = 23132531491870793
BaseRepresentation
bin1001000101010100011011…
…10111000001100001001000
32121201111022212100210100101
410202222031313001201020
510104223201323003432
6110251530243015144
74131033536111611
oct442521567014110
977644285323311
1019973977937992
116400a09909771
1222a711096a4b4
13b1b6cc0b7500
144d0a62262c08
152498805c54e7
hex122a8ddc1848

19973977937992 has 96 divisors (see below), whose sum is σ = 41596169193000. Its totient is φ = 8984111904768.

The previous prime is 19973977937983. The next prime is 19973977938119. The reversal of 19973977937992 is 29973977937991.

It can be written as a sum of positive squares in 12 ways, for example, as 706215013956 + 19267762924036 = 840366^2 + 4389506^2 .

It is a super-2 number, since 2×199739779379922 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19973977937897 and 19973977937906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9741348 + ... + 11612140.

Almost surely, 219973977937992 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 19973977937992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798084596500).

19973977937992 is an abundant number, since it is smaller than the sum of its proper divisors (21622191255008).

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

19973977937992 is a wasteful number, since it uses less digits than its factorization.

19973977937992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871027 (or 1871010 counting only the distinct ones).

The product of its digits is 22967817138, while the sum is 91.

Subtracting 19973977937992 from its reverse (29973977937991), we obtain a palindrome (9999999999999).

The spelling of 19973977937992 in words is "nineteen trillion, nine hundred seventy-three billion, nine hundred seventy-seven million, nine hundred thirty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 149 169 212 298 338 424 596 676 689 1192 1352 1378 1937 2756 3874 5512 7748 7897 8957 15496 15794 17914 25181 31588 35828 50362 63176 71656 100724 102661 201448 205322 410644 821288 1334593 1870793 2669186 3741586 5338372 7483172 10676744 14966344 24320309 48640618 97281236 99152029 194562472 198304058 278748157 316164017 396608116 557496314 632328034 793216232 1114992628 1264656068 1288976377 2229985256 2529312136 2577952754 3623726041 5155905508 7247452082 10311811016 14494904164 14773652321 16756692901 28989808328 29547304642 33513385802 47108438533 59094609284 67026771604 94216877066 118189218568 134053543208 188433754132 192057480173 376867508264 384114960346 768229920692 1536459841384 2496747242249 4993494484498 9986988968996 19973977937992