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12931950720 = 2735134312049
BaseRepresentation
bin11000000101100110…
…11110100010000000
31020101020202011101210
430002303132202000
5202441034410340
65535120330120
7635315524143
oct140263364200
936336664353
1012931950720
115536826a87
12260aa73940
1312b1267060
148a96d405a
1550a4ae180
hex302cde880

12931950720 has 256 divisors, whose sum is σ = 45427536000. Its totient is φ = 3108962304.

The previous prime is 12931950719. The next prime is 12931950749. The reversal of 12931950720 is 2705913921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067256 + ... + 1079304.

Almost surely, 212931950720 is an apocalyptic number.

12931950720 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 12931950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22713768000).

12931950720 is an abundant number, since it is smaller than the sum of its proper divisors (32495585280).

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

12931950720 is a wasteful number, since it uses less digits than its factorization.

12931950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 12931950720 in words is "twelve billion, nine hundred thirty-one million, nine hundred fifty thousand, seven hundred twenty".