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12931850880 = 273451331619
BaseRepresentation
bin11000000101100110…
…00110001010000000
31020101020120002110000
430002303012022000
5202441023212010
65535114240000
7635314630104
oct140263061200
936336502400
1012931850880
115536768a73
12260aa26000
1312b1230790
148a96a9904
1550a48e7c0
hex302cc6280

12931850880 has 640 divisors, whose sum is σ = 51421708800. Its totient is φ = 3075563520.

The previous prime is 12931850863. The next prime is 12931850881. The reversal of 12931850880 is 8805813921.

It is a happy number.

12931850880 is a `hidden beast` number, since 129 + 3 + 18 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12931850881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20891211 + ... + 20891829.

It is an arithmetic number, because the mean of its divisors is an integer number (80346420).

Almost surely, 212931850880 is an apocalyptic number.

12931850880 is a gapful number since it is divisible by the number (10) 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 12931850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710854400).

12931850880 is an abundant number, since it is smaller than the sum of its proper divisors (38489857920).

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

12931850880 is a wasteful number, since it uses less digits than its factorization.

12931850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12931850880 in words is "twelve billion, nine hundred thirty-one million, eight hundred fifty thousand, eight hundred eighty".