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48969930240 = 293457113067
BaseRepresentation
bin101101100110110101…
…011101011000000000
311200101210120012120000
4231212311131120000
51300242300231430
634255123320000
73352343352630
oct554665353000
9150353505500
1048969930240
111984a281430
1295a7b20000
134805534baa
1425279d66c0
151419223e60
hexb66d5d600

48969930240 has 800 divisors, whose sum is σ = 218745356544. Its totient is φ = 10172252160.

The previous prime is 48969930221. The next prime is 48969930257. The reversal of 48969930240 is 4203996984.

48969930240 is a `hidden beast` number, since 489 + 6 + 99 + 30 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15965187 + ... + 15968253.

Almost surely, 248969930240 is an apocalyptic number.

48969930240 is a gapful number since it is divisible by the number (40) 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 48969930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109372678272).

48969930240 is an abundant number, since it is smaller than the sum of its proper divisors (169775426304).

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

48969930240 is a wasteful number, since it uses less digits than its factorization.

48969930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 48969930240 in words is "forty-eight billion, nine hundred sixty-nine million, nine hundred thirty thousand, two hundred forty".