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48876262344 = 233271331331727
BaseRepresentation
bin101101100001010000…
…001001001111001000
311200011021022101100200
4231201100021033020
51300044310343334
634241535532200
73350125242450
oct554120111710
9150137271320
1048876262344
1119801415348
12958068a060
1347bbcca5c0
1425193b2d60
151410dc0799
hexb614093c8

48876262344 has 384 divisors, whose sum is σ = 168916500480. Its totient is φ = 12419827200.

The previous prime is 48876262333. The next prime is 48876262349. The reversal of 48876262344 is 44326267884.

48876262344 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 6 + 2 + 623 + 4 + 4 = 666.

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 (48876262349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67229709 + ... + 67230435.

It is an arithmetic number, because the mean of its divisors is an integer number (439886720).

Almost surely, 248876262344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48876262344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84458250240).

48876262344 is an abundant number, since it is smaller than the sum of its proper divisors (120040238136).

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

48876262344 is a wasteful number, since it uses less digits than its factorization.

48876262344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1114 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 48876262344 in words is "forty-eight billion, eight hundred seventy-six million, two hundred sixty-two thousand, three hundred forty-four".