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5982106053 = 3721121931571
BaseRepresentation
bin1011001001000111…
…11011000111000101
3120102220101110210110
411210203323013011
544222404343203
62425333143233
7301146030300
oct54443730705
916386343713
105982106053
11259a819900
1211ab48ab19
13744472131
1440a6b1b37
152502a0d03
hex1648fb1c5

5982106053 has 144 divisors (see below), whose sum is σ = 11101009920. Its totient is φ = 2844072000.

The previous prime is 5982106027. The next prime is 5982106079. The reversal of 5982106053 is 3506012895.

It is an interprime number because it is at equal distance from previous prime (5982106027) and next prime (5982106079).

It is not a de Polignac number, because 5982106053 - 25 = 5982106021 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5982106003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10476258 + ... + 10476828.

Almost surely, 25982106053 is an apocalyptic number.

It is an amenable number.

5982106053 is a deficient number, since it is larger than the sum of its proper divisors (5118903867).

5982106053 is a wasteful number, since it uses less digits than its factorization.

5982106053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5982106053 is about 77344.0757459807. The cubic root of 5982106053 is about 1815.3123796584.

The spelling of 5982106053 in words is "five billion, nine hundred eighty-two million, one hundred six thousand, fifty-three".

Divisors: 1 3 7 11 19 21 31 33 49 57 77 93 121 133 147 209 217 231 341 363 399 539 571 589 627 651 847 931 1023 1463 1519 1617 1713 1767 2299 2387 2541 2793 3751 3997 4123 4389 4557 5929 6281 6479 6897 7161 10241 10849 11253 11991 12369 16093 16709 17701 17787 18843 19437 26257 27979 28861 30723 32547 43967 45353 48279 50127 53103 69091 71269 75943 78771 83937 86583 112651 119339 123907 131901 136059 183799 194711 207273 213807 227829 307769 317471 336319 337953 358017 371721 483637 498883 531601 551397 584133 835373 867349 923307 952413 1008957 1312729 1362977 1450911 1496649 1594803 2141821 2354233 2506119 2602047 3385459 3492181 3699509 3938187 4088931 5847611 6425463 7062699 9189103 9540839 10156377 10476543 11098527 14992747 16479631 17542833 25896563 27567309 28622517 40694599 44978241 49438893 64323721 77689689 104949229 122083797 181275941 192971163 284862193 314847687 543827823 854586579 1994035351 5982106053