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49727333376 = 21035728549
BaseRepresentation
bin101110010011111110…
…101110010000000000
311202100120202021100000
4232103332232100000
51303320144132001
634502221200000
73410201234220
oct562376562000
9152316667300
1049727333376
111a0a8868636
129779700000
1348c6422226
14259a434080
151460984a86
hexb93fae400

49727333376 has 264 divisors, whose sum is σ = 170182667200. Its totient is φ = 14207311872.

The previous prime is 49727333363. The next prime is 49727333389. The reversal of 49727333376 is 67333372794.

It is a happy number.

49727333376 is a `hidden beast` number, since 497 + 27 + 33 + 33 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (49727333363) and next prime (49727333389).

It is a super-3 number, since 3×497273333763 (a number of 33 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1727550 + ... + 1756098.

Almost surely, 249727333376 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 49727333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85091333600).

49727333376 is an abundant number, since it is smaller than the sum of its proper divisors (120455333824).

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

49727333376 is an equidigital number, since it uses as much as digits as its factorization.

49727333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28591 (or 28561 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 54.

The spelling of 49727333376 in words is "forty-nine billion, seven hundred twenty-seven million, three hundred thirty-three thousand, three hundred seventy-six".