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48811947408 = 24337217279101
BaseRepresentation
bin101101011101011010…
…110011010110010000
311122222210021211212000
4231131122303112100
51244431324304113
634231321234000
73345414464400
oct553532632620
9148883254760
1048811947408
1119779087604
129563032900
1347ab89c623
142510a30800
15140a419373
hexb5d6b3590

48811947408 has 720 divisors, whose sum is σ = 177061881600. Its totient is φ = 12831436800.

The previous prime is 48811947403. The next prime is 48811947413. The reversal of 48811947408 is 80474911884.

48811947408 is a `hidden beast` number, since 4 + 88 + 119 + 47 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (48811947403) and next prime (48811947413).

It is a super-2 number, since 2×488119474082 (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 not an unprimeable number, because it can be changed into a prime (48811947403) 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 143 ways as a sum of consecutive naturals, for example, 483286558 + ... + 483286658.

It is an arithmetic number, because the mean of its divisors is an integer number (245919280).

Almost surely, 248811947408 is an apocalyptic number.

48811947408 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 48811947408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88530940800).

48811947408 is an abundant number, since it is smaller than the sum of its proper divisors (128249934192).

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

48811947408 is a wasteful number, since it uses less digits than its factorization.

48811947408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 48811947408 in words is "forty-eight billion, eight hundred eleven million, nine hundred forty-seven thousand, four hundred eight".