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12499280640 = 283357211261
BaseRepresentation
bin10111010010000001…
…11110001100000000
31012021002121020122000
423221000332030000
5201044303440030
65424142544000
7621513063300
oct135100761400
935232536560
1012499280640
115334577600
122509b98000
131242727362
14868067600
154d24e5860
hex2e903e300

12499280640 has 1296 divisors, whose sum is σ = 57643498080. Its totient is φ = 2554675200.

The previous prime is 12499280551. The next prime is 12499280657. The reversal of 12499280640 is 4608299421.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 204906210 + ... + 204906270.

Almost surely, 212499280640 is an apocalyptic number.

12499280640 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 12499280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28821749040).

12499280640 is an abundant number, since it is smaller than the sum of its proper divisors (45144217440).

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

12499280640 is a wasteful number, since it uses less digits than its factorization.

12499280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12499280640 in words is "twelve billion, four hundred ninety-nine million, two hundred eighty thousand, six hundred forty".