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48218069952 = 263213172343383
BaseRepresentation
bin101100111010000001…
…010101101111000000
311121110101210202010200
4230322001111233000
51242222311214302
634052344325200
73324613555263
oct547201255700
9147411722120
1048218069952
11194a3930698
129418173800
134715838750
142495bdccda
1513c320a81c
hexb3a055bc0

48218069952 has 672 divisors, whose sum is σ = 168710750208. Its totient is φ = 13011812352.

The previous prime is 48218069897. The next prime is 48218069953. The reversal of 48218069952 is 25996081284.

It is a happy number.

48218069952 is a `hidden beast` number, since 482 + 18 + 0 + 69 + 95 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48218069953) 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, 125895553 + ... + 125895935.

It is an arithmetic number, because the mean of its divisors is an integer number (251057664).

Almost surely, 248218069952 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 48218069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84355375104).

48218069952 is an abundant number, since it is smaller than the sum of its proper divisors (120492680256).

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

48218069952 is a wasteful number, since it uses less digits than its factorization.

48218069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 48218069952 in words is "forty-eight billion, two hundred eighteen million, sixty-nine thousand, nine hundred fifty-two".