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48484132920 = 233251015772311
BaseRepresentation
bin101101001001111000…
…010010100000111000
311122010221110010220200
4231021320102200320
51243243414223140
634135011122200
73334324221126
oct551170224070
9148127403820
1048484132920
1119620035743
1294912a3360
1347589b3562
1424bd29a916
1513db764030
hexb49e12838

48484132920 has 192 divisors, whose sum is σ = 159478338240. Its totient is φ = 12773376000.

The previous prime is 48484132919. The next prime is 48484132951. The reversal of 48484132920 is 2923148484.

48484132920 is a `hidden beast` number, since 484 + 84 + 1 + 3 + 2 + 92 + 0 = 666.

It is a super-2 number, since 2×484841329202 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20978565 + ... + 20980875.

It is an arithmetic number, because the mean of its divisors is an integer number (830616345).

Almost surely, 248484132920 is an apocalyptic number.

48484132920 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 48484132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79739169120).

48484132920 is an abundant number, since it is smaller than the sum of its proper divisors (110994205320).

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

48484132920 is a wasteful number, since it uses less digits than its factorization.

48484132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48484132920 in words is "forty-eight billion, four hundred eighty-four million, one hundred thirty-two thousand, nine hundred twenty".