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12051400032 = 253275977877
BaseRepresentation
bin10110011100101000…
…11100010101100000
31011002212211112221100
423032110130111200
5144140124300112
65311503154400
7604434132030
oct131624342540
934085745840
1012051400032
115124779241
122403ba5a00
1311a09c0249
1482479b8c0
154a80252dc
hex2ce51c560

12051400032 has 72 divisors (see below), whose sum is σ = 39167056656. Its totient is φ = 3443256576.

The previous prime is 12051400019. The next prime is 12051400037. The reversal of 12051400032 is 23000415021.

12051400032 is a `hidden beast` number, since 120 + 514 + 0 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12051399978 and 12051400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051400037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2986923 + ... + 2990954.

It is an arithmetic number, because the mean of its divisors is an integer number (543986898).

Almost surely, 212051400032 is an apocalyptic number.

12051400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12051400032 is an abundant number, since it is smaller than the sum of its proper divisors (27115656624).

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

12051400032 is a wasteful number, since it uses less digits than its factorization.

12051400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977900 (or 5977889 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12051400032 its reverse (23000415021), we get a palindrome (35051815053).

The spelling of 12051400032 in words is "twelve billion, fifty-one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5977877 11955754 17933631 23911508 35867262 41845139 47823016 53800893 71734524 83690278 95646032 107601786 125535417 143469048 167380556 191292064 215203572 251070834 286938096 334761112 376606251 430407144 502141668 573876192 669522224 753212502 860814288 1004283336 1339044448 1506425004 1721628576 2008566672 3012850008 4017133344 6025700016 12051400032