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725240063808 = 263313173161261
BaseRepresentation
bin10101000110110111010…
…11010010011101000000
32120022222020010111012000
422203123223102131000
543340242424020213
61313100511304000
7103253060554251
oct12433353223500
92508866114160
10725240063808
1125a633122167
12b868151b000
135350b647340
142715d4dcb28
1513ce9d99c73
hexa8dbad2740

725240063808 has 448 divisors, whose sum is σ = 2509605181440. Its totient is φ = 203245977600.

The previous prime is 725240063797. The next prime is 725240063809. The reversal of 725240063808 is 808360042527.

725240063808 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 4 + 0 + 0 + 638 + 0 + 8 = 666.

It is a super-2 number, since 2×7252400638082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725240063809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11807898 + ... + 11869158.

It is an arithmetic number, because the mean of its divisors is an integer number (5601797280).

Almost surely, 2725240063808 is an apocalyptic number.

725240063808 is a gapful number since it is divisible by the number (78) 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 725240063808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254802590720).

725240063808 is an abundant number, since it is smaller than the sum of its proper divisors (1784365117632).

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

725240063808 is a wasteful number, since it uses less digits than its factorization.

725240063808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61343 (or 61327 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 725240063808 in words is "seven hundred twenty-five billion, two hundred forty million, sixty-three thousand, eight hundred eight".