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552142143036 = 2232112367904801
BaseRepresentation
bin10000000100011100011…
…11000111111000111100
31221210011201212000200100
420002032033013320330
533021241342034121
61101352310201100
754614411531151
oct10021617077074
91853151760610
10552142143036
111a31869332a0
128b013353190
13400b3942753
141ca1c250228
15e5685b7026
hex808e3c7e3c

552142143036 has 144 divisors (see below), whose sum is σ = 1612487455488. Its totient is φ = 157652352000.

The previous prime is 552142143023. The next prime is 552142143041. The reversal of 552142143036 is 630341241255.

552142143036 is a `hidden beast` number, since 5 + 5 + 214 + 2 + 1 + 430 + 3 + 6 = 666.

It is a super-2 number, since 2×5521421430362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157836 + ... + 1062636.

It is an arithmetic number, because the mean of its divisors is an integer number (11197829552).

Almost surely, 2552142143036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552142143036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806243727744).

552142143036 is an abundant number, since it is smaller than the sum of its proper divisors (1060345312452).

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

552142143036 is a wasteful number, since it uses less digits than its factorization.

552142143036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904912 (or 904907 counting only the distinct ones).

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

The spelling of 552142143036 in words is "five hundred fifty-two billion, one hundred forty-two million, one hundred forty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 67 69 92 99 132 134 138 198 201 207 253 268 276 396 402 414 506 603 737 759 804 828 1012 1206 1474 1518 1541 2211 2277 2412 2948 3036 3082 4422 4554 4623 6164 6633 8844 9108 9246 13266 13869 16951 18492 26532 27738 33902 50853 55476 67804 101706 152559 203412 305118 610236 904801 1809602 2714403 3619204 5428806 8143209 9952811 10857612 16286418 19905622 20810423 29858433 32572836 39811244 41620846 59716866 60621667 62431269 83241692 89575299 119433732 121243334 124862538 179150598 181865001 187293807 228914653 242486668 249725076 358301196 363730002 374587614 457829306 545595003 666838337 686743959 727460004 749175228 915658612 1091190006 1333676674 1373487918 1394298341 2000515011 2060231877 2182380012 2667353348 2746975836 2788596682 4001030022 4120463754 4182895023 5577193364 6001545033 8002060044 8240927508 8365790046 12003090066 12548685069 15337281751 16731580092 24006180132 25097370138 30674563502 46011845253 50194740276 61349127004 92023690506 138035535759 184047381012 276071071518 552142143036