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19775030109408 = 2532761316001701
BaseRepresentation
bin1000111111100001110111…
…01001010010010011100000
32121000110210211220221200200
410133300323221102103200
510042443230202000113
6110020305020345200
74110461452346010
oct437607351222340
977013724827620
1019775030109408
1163345a7a65522
1222746496a5200
13b05a14a71092
144c518bbcdc40
152445d96da873
hex11fc3ba524e0

19775030109408 has 144 divisors (see below), whose sum is σ = 64373695023456. Its totient is φ = 5640791270400.

The previous prime is 19775030109361. The next prime is 19775030109433. The reversal of 19775030109408 is 80490103057791.

It is a happy number.

19775030109408 is a `hidden beast` number, since 1 + 97 + 7 + 503 + 0 + 1 + 0 + 9 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×197750301094082 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6765043 + ... + 9236658.

It is an arithmetic number, because the mean of its divisors is an integer number (447039548774).

Almost surely, 219775030109408 is an apocalyptic number.

19775030109408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19775030109408 is an abundant number, since it is smaller than the sum of its proper divisors (44598664914048).

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

19775030109408 is a wasteful number, since it uses less digits than its factorization.

19775030109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002337 (or 16002326 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 19775030109408 in words is "nineteen trillion, seven hundred seventy-five billion, thirty million, one hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 613 672 1008 1226 1839 2016 2452 3678 4291 4904 5517 7356 8582 9808 11034 12873 14712 17164 19616 22068 25746 29424 34328 38619 44136 51492 58848 68656 77238 88272 102984 137312 154476 176544 205968 308952 411936 617904 1235808 16001701 32003402 48005103 64006804 96010206 112011907 128013608 144015309 192020412 224023814 256027216 288030618 336035721 384040824 448047628 512054432 576061236 672071442 768081648 896095256 1008107163 1152122472 1344142884 1536163296 1792190512 2016214326 2304244944 2688285768 3584381024 4032428652 4608489888 5376571536 8064857304 9809042713 10753143072 16129714608 19618085426 29427128139 32259429216 39236170852 58854256278 68663298991 78472341704 88281384417 117708512556 137326597982 156944683408 176562768834 205989896973 235417025112 274653195964 313889366816 353125537668 411979793946 470834050224 549306391928 617969690919 706251075336 823959587892 941668100448 1098612783856 1235939381838 1412502150672 1647919175784 2197225567712 2471878763676 2825004301344 3295838351568 4943757527352 6591676703136 9887515054704 19775030109408