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48181213080 = 23325711131931227
BaseRepresentation
bin101100110111110100…
…101111011110011000
311121100211110020000100
4230313310233132120
51242133342304310
634044550335400
73323655360660
oct546764573630
9147324406010
1048181213080
1119485047570
12940795a560
13470b002750
142490d671a0
1513bed79ec0
hexb37d2f798

48181213080 has 1536 divisors, whose sum is σ = 229456281600. Its totient is φ = 8435404800.

The previous prime is 48181213057. The next prime is 48181213081. The reversal of 48181213080 is 8031218184.

48181213080 is a `hidden beast` number, since 481 + 81 + 21 + 3 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48181213081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 212251927 + ... + 212252153.

It is an arithmetic number, because the mean of its divisors is an integer number (149385600).

Almost surely, 248181213080 is an apocalyptic number.

48181213080 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 48181213080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114728140800).

48181213080 is an abundant number, since it is smaller than the sum of its proper divisors (181275068520).

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

48181213080 is a wasteful number, since it uses less digits than its factorization.

48181213080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 48181213080 in words is "forty-eight billion, one hundred eighty-one million, two hundred thirteen thousand, eighty".