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49723269120 = 21334572141
BaseRepresentation
bin101110010011101111…
…001110000000000000
311202100022002210020000
4232103233032000000
51303313124102440
634501554120000
73410121546120
oct562357160000
9152308083200
1049723269120
111a0a6542048
129778280000
1348c562b345
142599a96c80
151460430730
hexb93bce000

49723269120 has 560 divisors, whose sum is σ = 203816577888. Its totient is φ = 11360010240.

The previous prime is 49723269109. The next prime is 49723269121. The reversal of 49723269120 is 2196232794.

49723269120 is a `hidden beast` number, since 497 + 2 + 32 + 6 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49723269121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23223250 + ... + 23225390.

Almost surely, 249723269120 is an apocalyptic number.

49723269120 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 49723269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101908288944).

49723269120 is an abundant number, since it is smaller than the sum of its proper divisors (154093308768).

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

49723269120 is an equidigital number, since it uses as much as digits as its factorization.

49723269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 49723269120 in words is "forty-nine billion, seven hundred twenty-three million, two hundred sixty-nine thousand, one hundred twenty".