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12033925272 = 2333197937117
BaseRepresentation
bin10110011010100011…
…10010000010011000
31011001122221202002000
423031101302002120
5144121141102042
65310040441000
7604132451145
oct131521620230
934048852060
1012033925272
115115923196
1223ba179160
13119a1b2355
1482232d3cc
154a672274c
hex2cd472098

12033925272 has 128 divisors (see below), whose sum is σ = 35633280000. Its totient is φ = 3751982208.

The previous prime is 12033925217. The next prime is 12033925273. The reversal of 12033925272 is 27252933021.

It is a happy number.

12033925272 is a `hidden beast` number, since 1 + 2 + 0 + 339 + 252 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033925273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305658 + ... + 342774.

It is an arithmetic number, because the mean of its divisors is an integer number (278385000).

Almost surely, 212033925272 is an apocalyptic number.

12033925272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033925272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816640000).

12033925272 is an abundant number, since it is smaller than the sum of its proper divisors (23599354728).

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

12033925272 is a wasteful number, since it uses less digits than its factorization.

12033925272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37230 (or 37220 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12033925272 in words is "twelve billion, thirty-three million, nine hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 316 342 456 474 513 632 684 711 948 1026 1368 1422 1501 1896 2052 2133 2844 3002 4104 4266 4503 5688 6004 8532 9006 12008 13509 17064 18012 27018 36024 37117 40527 54036 74234 81054 108072 111351 148468 162108 222702 296936 324216 334053 445404 668106 705223 890808 1002159 1336212 1410446 2004318 2115669 2672424 2820892 2932243 4008636 4231338 5641784 5864486 6347007 8017272 8462676 8796729 11728972 12694014 16925352 17593458 19041021 23457944 25388028 26390187 35186916 38082042 50776056 52780374 55712617 70373832 76164084 79170561 105560748 111425234 152328168 158341122 167137851 211121496 222850468 316682244 334275702 445700936 501413553 633364488 668551404 1002827106 1337102808 1504240659 2005654212 3008481318 4011308424 6016962636 12033925272