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730246112640 = 273351123111123
BaseRepresentation
bin10101010000001100000…
…11110110010110000000
32120210220002220010012000
422220012003312112000
543431021001101030
61315245340304000
7103521115353642
oct12500603662600
92523802803160
10730246112640
11261771990800
12b9639b42000
1353b28813205
14274b62d6892
1513ede5e8860
hexaa060f6580

730246112640 has 768 divisors, whose sum is σ = 2854460044800. Its totient is φ = 176303001600.

The previous prime is 730246112587. The next prime is 730246112669. The reversal of 730246112640 is 46211642037.

730246112640 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 4 + 6 + 1 + 1 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 730246112595 and 730246112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650263119 + ... + 650264241.

It is an arithmetic number, because the mean of its divisors is an integer number (3716744850).

Almost surely, 2730246112640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730246112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427230022400).

730246112640 is an abundant number, since it is smaller than the sum of its proper divisors (2124213932160).

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

730246112640 is a wasteful number, since it uses less digits than its factorization.

730246112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 730246112640 its reverse (46211642037), we get a palindrome (776457754677).

The spelling of 730246112640 in words is "seven hundred thirty billion, two hundred forty-six million, one hundred twelve thousand, six hundred forty".