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19318193544 = 233131372831597
BaseRepresentation
bin10001111111011101…
…000011110110001000
31211212022120220121210
4101333131003312020
5304030424143134
612512531533120
71252502635656
oct217735036610
954768526553
1019318193544
118213686811
1238b175a1a0
131a8b368670
14d13925dd6
15780e8e2e9
hex47f743d88

19318193544 has 128 divisors (see below), whose sum is σ = 52608205440. Its totient is φ = 5876140032.

The previous prime is 19318193527. The next prime is 19318193569. The reversal of 19318193544 is 44539181391.

It is a junction number, because it is equal to n+sod(n) for n = 19318193493 and 19318193502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12095754 + ... + 12097350.

It is an arithmetic number, because the mean of its divisors is an integer number (411001605).

Almost surely, 219318193544 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 19318193544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304102720).

19318193544 is an abundant number, since it is smaller than the sum of its proper divisors (33290011896).

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

19318193544 is a wasteful number, since it uses less digits than its factorization.

19318193544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2035 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 19318193544 in words is "nineteen billion, three hundred eighteen million, one hundred ninety-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 283 312 411 548 566 822 849 1096 1132 1597 1644 1698 1781 2264 3194 3288 3396 3562 3679 4791 5343 6388 6792 7124 7358 9582 10686 11037 12776 14248 14716 19164 20761 21372 22074 29432 38328 38771 41522 42744 44148 62283 77542 83044 88296 116313 124566 155084 166088 218789 232626 249132 310168 437578 451951 465252 498264 504023 656367 875156 903902 930504 1008046 1312734 1355853 1512069 1750312 1807804 2016092 2625468 2711706 2844257 3024138 3615608 4032184 5250936 5423412 5688514 5875363 6048276 8532771 10846824 11377028 11750726 12096552 17065542 17626089 22754056 23501452 34131084 35252178 47002904 61917287 68262168 70504356 123834574 141008712 185751861 247669148 371503722 495338296 743007444 804924731 1486014888 1609849462 2414774193 3219698924 4829548386 6439397848 9659096772 19318193544