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663133152762042 = 233183277701922093
BaseRepresentation
bin1001011011000111011011100…
…0000000100101100010111010
310012221221220120120222010012220
42112301312320000211202322
51143404233144101341132
610310211055332144510
7256451534466405264
oct22661667000454272
93187856516863186
10663133152762042
11182327210985716
126245b793168136
1322603259ccc1b1
14b9a7b5c976b34
15519e935ee4a2c
hex25b1db80258ba

663133152762042 has 128 divisors (see below), whose sum is σ = 1390806680739840. Its totient is φ = 210534165515520.

The previous prime is 663133152762023. The next prime is 663133152762049. The reversal of 663133152762042 is 240267251331366.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (663133152762049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 30015521148 + ... + 30015543240.

It is an arithmetic number, because the mean of its divisors is an integer number (10865677193280).

Almost surely, 2663133152762042 is an apocalyptic number.

663133152762042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

663133152762042 is an abundant number, since it is smaller than the sum of its proper divisors (727673527977798).

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

663133152762042 is a wasteful number, since it uses less digits than its factorization.

663133152762042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508.

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 663133152762042 in words is "six hundred sixty-three trillion, one hundred thirty-three billion, one hundred fifty-two million, seven hundred sixty-two thousand, forty-two".

Divisors: 1 2 3 6 31 62 83 93 166 186 249 277 498 554 831 1662 2573 5146 7019 7719 8587 14038 15438 17174 21057 22093 22991 25761 42114 44186 45982 51522 66279 68973 132558 137946 217589 435178 582577 652767 684883 712721 1165154 1305534 1369766 1425442 1747731 1833719 1944263 2054649 2138163 3495462 3667438 3888526 4109298 4276326 5501157 5832789 6119761 11002314 11665578 12239522 18059887 18359283 36119774 36718566 54179661 56845289 60272153 108359322 113690578 120544306 155070767 161373829 170535867 180816459 189712591 310141534 322747658 341071734 361632918 379425182 465212301 484121487 507940163 569137773 930424602 968242974 1015880326 1138275546 1523820489 3047640978 4807193777 5002588699 9614387554 10005177398 12870873661 14421581331 15007766097 15746145053 25741747322 28843162662 30015532194 31492290106 38612620983 42954602459 47238435159 77225241966 85909204918 94476870318 128863807377 257727614754 398997083491 797994166982 1196991250473 1331592676229 2393982500946 2663185352458 3565232004097 3994778028687 7130464008194 7989556057374 10695696012291 21391392024582 110522192127007 221044384254014 331566576381021 663133152762042