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48229931088 = 24342961109193
BaseRepresentation
bin101100111010101110…
…100101100001010000
311121111020010100120000
4230322232211201100
51242233330243323
634053450450000
73325116435663
oct547256454120
9147436110500
1048229931088
11194aa5a2089
129420133900
13471812c481
1424976096da
1513c429ee43
hexb3aba5850

48229931088 has 400 divisors, whose sum is σ = 148886192400. Its totient is φ = 15049359360.

The previous prime is 48229931069. The next prime is 48229931089. The reversal of 48229931088 is 88013992284.

It can be written as a sum of positive squares in 8 ways, for example, as 4887687744 + 43342243344 = 69912^2 + 208188^2 .

It is a super-2 number, since 2×482299310882 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48229931089) by changing a digit.

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, 249895920 + ... + 249896112.

It is an arithmetic number, because the mean of its divisors is an integer number (372215481).

Almost surely, 248229931088 is an apocalyptic number.

48229931088 is a gapful number since it is divisible by the number (48) 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 48229931088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74443096200).

48229931088 is an abundant number, since it is smaller than the sum of its proper divisors (100656261312).

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

48229931088 is a wasteful number, since it uses less digits than its factorization.

48229931088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 48229931088 in words is "forty-eight billion, two hundred twenty-nine million, nine hundred thirty-one thousand, eighty-eight".