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200252625516 = 223423266310091
BaseRepresentation
bin1011101001111111111…
…1001001001001101100
3201010212221122101120000
42322133333021021230
511240104133004031
6231554512424300
720316306142356
oct2723777111154
9633787571500
10200252625516
1177a21428519
1232988248090
1315b64770928
1499998820d6
1553207263e6
hex2e9ffc926c

200252625516 has 120 divisors (see below), whose sum is σ = 546520068864. Its totient is φ = 63818362080.

The previous prime is 200252625509. The next prime is 200252625533. The reversal of 200252625516 is 615526252002.

200252625516 is a `hidden beast` number, since 2 + 0 + 0 + 25 + 2 + 625 + 5 + 1 + 6 = 666.

200252625516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002526255162 (a number of 23 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 19839631 + ... + 19849721.

Almost surely, 2200252625516 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 200252625516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273260034432).

200252625516 is an abundant number, since it is smaller than the sum of its proper divisors (346267443348).

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

200252625516 is a wasteful number, since it uses less digits than its factorization.

200252625516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 200252625516 its reverse (615526252002), we get a palindrome (815778877518).

The spelling of 200252625516 in words is "two hundred billion, two hundred fifty-two million, six hundred twenty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 2663 3726 5326 7452 7989 10091 10652 15978 20182 23967 30273 31956 40364 47934 60546 61249 71901 90819 95868 121092 122498 143802 181638 183747 215703 232093 244996 272457 287604 363276 367494 431406 464186 544914 551241 696279 734988 817371 862812 928372 1089828 1102482 1392558 1634742 1653723 2088837 2204964 2785116 3269484 3307446 4177674 4961169 6266511 6614892 8355348 9922338 12533022 18799533 19844676 25066044 26872333 37599066 53744666 75198132 80616999 107489332 161233998 241850997 322467996 483701994 618063659 725552991 967403988 1236127318 1451105982 1854190977 2176658973 2472254636 2902211964 3708381954 4353317946 5562572931 7416763908 8706635892 11125145862 16687718793 22250291724 33375437586 50063156379 66750875172 100126312758 200252625516