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36052651236996 = 223483240192
BaseRepresentation
bin10000011001010001010010…
…11110000101111010000100
311201122121012020211021110000
420030220221132011322010
514211141312204040441
6204402205341001300
710410501210133152
oct1014505136057204
9151577166737400
1036052651236996
111053a930807109
1240632b3b53230
13171699a8b1144
148c8d59a483d2
15427c2b2582b6
hex20ca29785e84

36052651236996 has 135 divisors (see below), whose sum is σ = 95421702671911. Its totient is φ = 11869806490416.

The previous prime is 36052651236977. The next prime is 36052651237039. The reversal of 36052651236996 is 69963215625063.

It is a happy number.

The square root of 36052651236996 is 6004386.

It is a perfect power (a square), and thus also a powerful number.

36052651236996 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 26 + 512 + 3 + 6 + 9 + 96 = 666.

It is a super-2 number, since 2×360526512369962 (a number of 28 digits) contains 22 as substring.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 8970550675 + ... + 8970554693.

Almost surely, 236052651236996 is an apocalyptic number.

36052651236996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36052651236996 is the 6004386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36052651236996

36052651236996 is an abundant number, since it is smaller than the sum of its proper divisors (59369051434915).

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

36052651236996 is an frugal number, since it uses more digits than its factorization.

36052651236996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 36052651236996 in words is "thirty-six trillion, fifty-two billion, six hundred fifty-one million, two hundred thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 4019 4482 6723 6889 8038 8964 12057 13446 13778 16076 20667 24114 26892 27556 36171 41334 48228 62001 72342 82668 108513 124002 144684 186003 217026 248004 325539 333577 372006 434052 558009 651078 667154 744012 1000731 1116018 1302156 1334308 2001462 2232036 3002193 4002924 6004386 9006579 12008772 16152361 18013158 27019737 27686891 32304722 36026316 48457083 54039474 55373782 64609444 83060673 96914166 108078948 110747564 145371249 166121346 193828332 249182019 290742498 332242692 436113747 498364038 581484996 747546057 872227494 996728076 1308341241 1340645963 1495092114 1744454988 2242638171 2616682482 2681291926 2990184228 4021937889 4485276342 5233364964 5362583852 8043875778 8970552684 12065813667 16087751556 24131627334 36197441001 48263254668 72394882002 108592323003 111273614929 144789764004 217184646006 222547229858 333820844787 434369292012 445094459716 667641689574 1001462534361 1335283379148 2002925068722 3004387603083 4005850137444 6008775206166 9013162809249 12017550412332 18026325618498 36052651236996