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19508457918244 = 2217237235112
BaseRepresentation
bin1000110111110001010101…
…01101000100111100100100
32120001222201222022120001111
410123320222231010330210
510024111310211340434
6105254021205234404
74052303526201061
oct433705255047444
976058658276044
1019508457918244
116241543a01819
122230a53102a04
13ab6841518c19
144b6300461c68
1523c6d6a52964
hex11be2ab44f24

19508457918244 has 81 divisors (see below), whose sum is σ = 37283432156019. Its totient is φ = 8929786394880.

The previous prime is 19508457918221. The next prime is 19508457918269. The reversal of 19508457918244 is 44281975480591.

The square root of 19508457918244 is 4416838.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9074782703844 + 10433675214400 = 3012438^2 + 3230120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19508457918244.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5556380449 + ... + 5556383959.

Almost surely, 219508457918244 is an apocalyptic number.

19508457918244 is the 4416838-th square number.

It is an amenable number.

19508457918244 is a deficient number, since it is larger than the sum of its proper divisors (17774974237775).

19508457918244 is an frugal number, since it uses more digits than its factorization.

19508457918244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 67.

The spelling of 19508457918244 in words is "nineteen trillion, five hundred eight billion, four hundred fifty-seven million, nine hundred eighteen thousand, two hundred forty-four".

Divisors: 1 2 4 17 34 37 68 74 148 289 578 629 1156 1258 1369 2516 2738 3511 5476 7022 10693 14044 21386 23273 42772 46546 59687 93092 119374 129907 238748 259814 395641 519628 791282 1014679 1582564 2029358 2208419 4058716 4416838 4806559 8833676 9613118 12327121 19226236 24654242 37543123 49308484 75086246 81711503 150172492 163423006 209561057 326846012 419122114 456103477 838244228 912206954 1389095551 1824413908 2778191102 3562537969 5556382204 7125075938 7753759109 14250151876 15507518218 16875828649 31015036436 33751657298 67503314596 131813904853 263627809706 286889087033 527255619412 573778174066 1147556348132 4877114479561 9754228959122 19508457918244