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20046087759192 = 233113115531577221
BaseRepresentation
bin1001000111011010101111…
…11100001010010101011000
32121222101110022201020210220
410203231113330022111120
510111413341431243232
6110345013502440040
74136165512351515
oct443552774122530
977871408636726
1020046087759192
116429552a37720
1222b9096293020
13b2545167b071
144d434316030c
1524b6a103d42c
hex123b57f0a558

20046087759192 has 128 divisors (see below), whose sum is σ = 56471108843520. Its totient is φ = 5874829056000.

The previous prime is 20046087759121. The next prime is 20046087759209. The reversal of 20046087759192 is 29195778064002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11921142 + ... + 13498362.

It is an arithmetic number, because the mean of its divisors is an integer number (441180537840).

Almost surely, 220046087759192 is an apocalyptic number.

20046087759192 is a gapful number since it is divisible by the number (22) 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 20046087759192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28235554421760).

20046087759192 is an abundant number, since it is smaller than the sum of its proper divisors (36425021084328).

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

20046087759192 is a wasteful number, since it uses less digits than its factorization.

20046087759192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578825 (or 1578821 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 20046087759192 in words is "twenty trillion, forty-six billion, eighty-seven million, seven hundred fifty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1553 2046 2728 3106 4092 4659 6212 8184 9318 12424 17083 18636 34166 37272 48143 51249 68332 96286 102498 136664 144429 192572 204996 288858 385144 409992 529573 577716 1059146 1155432 1577221 1588719 2118292 3154442 3177438 4236584 4731663 6308884 6354876 9463326 12617768 12709752 17349431 18926652 34698862 37853304 48893851 52048293 69397724 97787702 104096586 138795448 146681553 195575404 208193172 293363106 391150808 416386344 537832361 586726212 1075664722 1173452424 1613497083 2151329444 2449424213 3226994166 4302658888 4898848426 6453988332 7348272639 9797696852 12907976664 14696545278 19595393704 26943666343 29393090556 53887332686 58786181112 75932150603 80830999029 107774665372 151864301206 161661998058 215549330744 227796451809 303728602412 323323996116 455592903618 607457204824 646647992232 835253656633 911185807236 1670507313266 1822371614472 2505760969899 3341014626532 5011521939798 6682029253064 10023043879596 20046087759192