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49488136992 = 25327376071093
BaseRepresentation
bin101110000101101110…
…010000101100100000
311201201220122211120200
4232011232100230200
51302322430340432
634422354305200
73401235136530
oct560556205440
9151656584520
1049488136992
1119a95843878
129711588200
1348889c30c8
14257676b4c0
151449986a7c
hexb85b90b20

49488136992 has 288 divisors, whose sum is σ = 165606884352. Its totient is φ = 13722089472.

The previous prime is 49488136939. The next prime is 49488136993. The reversal of 49488136992 is 29963188494.

49488136992 is a `hidden beast` number, since 4 + 9 + 488 + 1 + 3 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (49488136993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45276798 + ... + 45277890.

It is an arithmetic number, because the mean of its divisors is an integer number (575023904).

Almost surely, 249488136992 is an apocalyptic number.

49488136992 is a gapful number since it is divisible by the number (42) 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 49488136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82803442176).

49488136992 is an abundant number, since it is smaller than the sum of its proper divisors (116118747360).

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

49488136992 is a wasteful number, since it uses less digits than its factorization.

49488136992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1749 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 49488136992 in words is "forty-nine billion, four hundred eighty-eight million, one hundred thirty-six thousand, nine hundred ninety-two".