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19740080568 = 23313832413163
BaseRepresentation
bin10010011000100110…
…011011100110111000
31212221201102222211010
4102120212123212320
5310411430034233
613022442233520
71266114626205
oct223046334670
955851388733
1019740080568
11840a84077a
1239aaab58a0
131b278a1260
14d53986cac
157a8027b63
hex49899b9b8

19740080568 has 128 divisors (see below), whose sum is σ = 54026945280. Its totient is φ = 5973903360.

The previous prime is 19740080543. The next prime is 19740080573. The reversal of 19740080568 is 86508004791.

It is a super-2 number, since 2×197400805682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6239355 + ... + 6242517.

It is an arithmetic number, because the mean of its divisors is an integer number (422085510).

Almost surely, 219740080568 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 19740080568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013472640).

19740080568 is an abundant number, since it is smaller than the sum of its proper divisors (34286864712).

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

19740080568 is a wasteful number, since it uses less digits than its factorization.

19740080568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 19740080568 in words is "nineteen billion, seven hundred forty million, eighty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 241 249 312 332 482 498 664 723 964 996 1079 1446 1928 1992 2158 2892 3133 3163 3237 4316 5784 6266 6326 6474 8632 9399 9489 12532 12652 12948 18798 18978 20003 25064 25304 25896 37596 37956 40006 41119 60009 75192 75912 80012 82238 120018 123357 160024 164476 240036 246714 260039 262529 328952 480072 493428 520078 525058 762283 780117 787587 986856 1040156 1050116 1524566 1560234 1575174 2080312 2100232 2286849 3049132 3120468 3150348 3412877 4573698 6098264 6240936 6300696 6825754 9147396 9909679 10238631 13651508 18294792 19819358 20477262 27303016 29729037 39638716 40954524 59458074 63269489 79277432 81909048 118916148 126538978 189808467 237832296 253077956 379616934 506155912 759233868 822503357 1518467736 1645006714 2467510071 3290013428 4935020142 6580026856 9870040284 19740080568