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49332235680 = 2533573132197
BaseRepresentation
bin101101111100011011…
…100010110110100000
311201100001022020012000
4231330123202312200
51302013023020210
634355105004000
73364333041000
oct557433426640
9151301266160
1049332235680
1119a15840912
129689323600
134862609100
14255db88000
15143ae3dac0
hexb7c6e2da0

49332235680 has 1152 divisors, whose sum is σ = 219143232000. Its totient is φ = 10355724288.

The previous prime is 49332235669. The next prime is 49332235681. The reversal of 49332235680 is 8653223394.

49332235680 is a `hidden beast` number, since 4 + 9 + 332 + 235 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49332235681) 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 191 ways as a sum of consecutive naturals, for example, 250417342 + ... + 250417538.

It is an arithmetic number, because the mean of its divisors is an integer number (190228500).

Almost surely, 249332235680 is an apocalyptic number.

49332235680 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 49332235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109571616000).

49332235680 is an abundant number, since it is smaller than the sum of its proper divisors (169810996320).

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

49332235680 is a wasteful number, since it uses less digits than its factorization.

49332235680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 49332235680 in words is "forty-nine billion, three hundred thirty-two million, two hundred thirty-five thousand, six hundred eighty".