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19406893140208 = 24717192239239597
BaseRepresentation
bin1000110100110100001001…
…11110001100100011110000
32112201021120202021020212201
410122122010332030203300
510020430304120441313
6105135223103432544
74042046621630350
oct432320476144360
975637522236781
1019406893140208
116202465271832
1222152292b5754
13aaa0a6786522
144b1427678b60
15239c402750dd
hex11a684f8c8f0

19406893140208 has 160 divisors (see below), whose sum is σ = 47916533145600. Its totient is φ = 7412647882752.

The previous prime is 19406893140137. The next prime is 19406893140209. The reversal of 19406893140208 is 80204139860491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19406893140209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80878266 + ... + 81117862.

It is an arithmetic number, because the mean of its divisors is an integer number (299478332160).

Almost surely, 219406893140208 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 19406893140208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23958266572800).

19406893140208 is an abundant number, since it is smaller than the sum of its proper divisors (28509640005392).

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

19406893140208 is a wasteful number, since it uses less digits than its factorization.

19406893140208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241887 (or 241881 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 19406893140208 in words is "nineteen trillion, four hundred six billion, eight hundred ninety-three million, one hundred forty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2239 2261 2584 4478 4522 5168 8956 9044 15673 17912 18088 31346 35824 36176 38063 42541 62692 76126 85082 125384 152252 170164 239597 250768 266441 297787 304504 340328 479194 532882 595574 609008 680656 723197 958388 1065764 1191148 1446394 1677179 1916776 2131528 2382296 2892788 3354358 3833552 4073149 4263056 4552343 4764592 5062379 5785576 6708716 8146298 9104686 10124758 11571152 13417432 16292596 18209372 20249516 26834864 28512043 31866401 32585192 36418744 40499032 57024086 63732802 65170384 72837488 77389831 80998064 114048172 127465604 154779662 228096344 254931208 309559324 456192688 509862416 536457683 541728817 619118648 1072915366 1083457634 1238237296 2145830732 2166915268 3755203781 4291661464 4333830536 7510407562 8583322928 8667661072 9119780611 10192695977 15020815124 18239561222 20385391954 30041630248 36479122444 40770783908 60083260496 63838464277 71348871839 72958244888 81541567816 127676928554 142697743678 145916489776 163083135632 173275831609 255353857108 285395487356 346551663218 510707714216 570790974712 693103326436 1021415428432 1141581949424 1212930821263 1386206652872 2425861642526 2772413305744 4851723285052 9703446570104 19406893140208