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48488207040 = 2634571361337
BaseRepresentation
bin101101001010000111…
…110101001011000000
311122011020010010120000
4231022013311023000
51243300440111130
634135234320000
73334403650050
oct551207651300
9148136103500
1048488207040
1119622368689
129492729000
1347597aba90
1424bda3b560
1513dbcbb260
hexb4a1f52c0

48488207040 has 1120 divisors, whose sum is σ = 216404732544. Its totient is φ = 10032906240.

The previous prime is 48488206981. The next prime is 48488207087. The reversal of 48488207040 is 4070288484.

It is a happy number.

48488207040 is a `hidden beast` number, since 48 + 488 + 20 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×484882070402 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143881752 + ... + 143882088.

Almost surely, 248488207040 is an apocalyptic number.

48488207040 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 48488207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108202366272).

48488207040 is an abundant number, since it is smaller than the sum of its proper divisors (167916525504).

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

48488207040 is a wasteful number, since it uses less digits than its factorization.

48488207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 48488207040 in words is "forty-eight billion, four hundred eighty-eight million, two hundred seven thousand, forty".