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19985570383856 = 24721113009178141
BaseRepresentation
bin1001000101101010000001…
…10100101100011111110000
32121202121020202121001112012
410202311000310230133300
510104420422004240411
6110301124433222052
74131624031222100
oct442650064543760
977677222531465
1019985570383856
116405918505940
1222a9407101928
13b1c82899422c
144d1441ab1200
15249d0d18e18b
hex122d40d2c7f0

19985570383856 has 120 divisors (see below), whose sum is σ = 49142971813680. Its totient is φ = 7785943603200.

The previous prime is 19985570383853. The next prime is 19985570383859. The reversal of 19985570383856 is 65838307558991.

It is an interprime number because it is at equal distance from previous prime (19985570383853) and next prime (19985570383859).

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19985570383853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112100546 + ... + 112278686.

It is an arithmetic number, because the mean of its divisors is an integer number (409524765114).

Almost surely, 219985570383856 is an apocalyptic number.

19985570383856 is a gapful number since it is divisible by the number (16) 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 19985570383856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24571485906840).

19985570383856 is an abundant number, since it is smaller than the sum of its proper divisors (29157401429824).

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

19985570383856 is a wasteful number, since it uses less digits than its factorization.

19985570383856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191183 (or 191170 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 77.

The spelling of 19985570383856 in words is "nineteen trillion, nine hundred eighty-five billion, five hundred seventy million, three hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 13009 26018 52036 91063 104072 143099 178141 182126 208144 286198 356282 364252 572396 637441 712564 728504 1001693 1144792 1246987 1274882 1425128 1457008 1959551 2003386 2289584 2493974 2549764 2850256 3919102 4006772 4987948 5099528 7011851 7838204 8013544 8728909 9975896 10199056 13716857 14023702 15676408 16027088 17457818 19951792 27433714 28047404 31352816 34915636 54867428 56094808 69831272 96017999 109734856 112189616 139662544 192035998 219469712 384071996 768143992 1536287984 2317436269 4634872538 9269745076 16222053883 18539490152 25491798959 32444107766 37078980304 50983597918 64888215532 101967195836 113554377181 129776431064 178442592713 203934391672 227108754362 259552862128 356885185426 407868783344 454217508724 713770370852 908435017448 1249098148991 1427540741704 1816870034896 2498196297982 2855081483408 4996392595964 9992785191928 19985570383856