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20381342553 = 3411133121831
BaseRepresentation
bin10010111110110100…
…101001101101011001
31221121102002110220000
4102332310221231121
5313220110430203
613210230523213
71321032360525
oct227664515531
957542073800
1020381342553
118709811360
123b49806509
131bca6b5c10
14db4bd0d85
157e44964a3
hex4bed29b59

20381342553 has 120 divisors (see below), whose sum is σ = 36980209728. Its totient is φ = 11028312000.

The previous prime is 20381342539. The next prime is 20381342563. The reversal of 20381342553 is 35524318302.

20381342553 is a `hidden beast` number, since 20 + 3 + 81 + 3 + 4 + 2 + 553 = 666.

It is not a de Polignac number, because 20381342553 - 210 = 20381341529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20381342533) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11130348 + ... + 11132178.

Almost surely, 220381342553 is an apocalyptic number.

It is an amenable number.

20381342553 is a deficient number, since it is larger than the sum of its proper divisors (16598867175).

20381342553 is a wasteful number, since it uses less digits than its factorization.

20381342553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20381342553 in words is "twenty billion, three hundred eighty-one million, three hundred forty-two thousand, five hundred fifty-three".

Divisors: 1 3 9 11 13 27 31 33 39 81 93 99 117 143 279 297 341 351 403 429 837 891 961 1023 1053 1209 1287 1831 2511 2883 3069 3627 3861 4433 5493 8649 9207 10571 10881 11583 12493 13299 16479 20141 23803 25947 27621 31713 32643 37479 39897 49437 56761 60423 71409 77841 95139 112437 119691 137423 148311 170283 181269 214227 261833 285417 337311 359073 412269 510849 543807 624371 642681 737893 785499 856251 1011933 1236807 1532547 1631421 1759591 1873113 1928043 2213679 2356497 3710421 4597641 5278773 5619339 6641037 7069491 8116823 11131263 15836319 16858017 19355501 19923111 21208473 22874683 24350469 47508957 50574051 58066503 59769333 68624049 73051407 142526871 174199509 205872147 219154221 251621513 522598527 617616441 657462663 754864539 1567795581 1852849323 2264593617 6793780851 20381342553