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132045600456 = 233271123817749
BaseRepresentation
bin111101011111010000…
…1111111011011001000
3110121211111002111220200
41322332201333123020
54130412133203311
6140354431252200
712353133041040
oct1727641773310
9417744074820
10132045600456
1151000332020
122171197a060
13c5b49268c3
146569034720
15367c732556
hex1ebe87f6c8

132045600456 has 96 divisors (see below), whose sum is σ = 445868280000. Its totient is φ = 34297557120.

The previous prime is 132045600439. The next prime is 132045600457. The reversal of 132045600456 is 654006540231.

132045600456 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 5 + 600 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132045600456.

It is not an unprimeable number, because it can be changed into a prime (132045600457) 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 23 ways as a sum of consecutive naturals, for example, 11903331 + ... + 11914418.

It is an arithmetic number, because the mean of its divisors is an integer number (4644461250).

Almost surely, 2132045600456 is an apocalyptic number.

It is an amenable number.

132045600456 is an abundant number, since it is smaller than the sum of its proper divisors (313822679544).

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

132045600456 is a wasteful number, since it uses less digits than its factorization.

132045600456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23817779 (or 23817772 counting only the distinct ones).

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

The spelling of 132045600456 in words is "one hundred thirty-two billion, forty-five million, six hundred thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 23817749 47635498 71453247 95270996 142906494 166724243 190541992 214359741 261995239 285812988 333448486 428719482 500172729 523990478 571625976 666896972 785985717 857438964 1000345458 1047980956 1333793944 1500518187 1571971434 1714877928 1833966673 2000690916 2095961912 2357957151 3001036374 3143942868 3667933346 4001381832 4715914302 5501900019 6002072748 6287885736 7335866692 9431828604 11003800038 12004145496 14671733384 16505700057 18863657208 22007600076 33011400114 44015200152 66022800228 132045600456