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48522745440 = 253551396001
BaseRepresentation
bin101101001100001011…
…100101011001100000
311122020122002212100000
4231030023211121200
51243333310323230
634142510500000
73335303350101
oct551413453140
9148218085300
1048522745440
111963a908914
1294a2204600
1347639b26c0
1424c446c3a8
1513ded3eb60
hexb4c2e5660

48522745440 has 288 divisors, whose sum is σ = 184927500576. Its totient is φ = 11943936000.

The previous prime is 48522745343. The next prime is 48522745441. The reversal of 48522745440 is 4454722584.

48522745440 is a `hidden beast` number, since 4 + 8 + 522 + 74 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48522745441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457440 + ... + 553440.

It is an arithmetic number, because the mean of its divisors is an integer number (642109377).

Almost surely, 248522745440 is an apocalyptic number.

48522745440 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 48522745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92463750288).

48522745440 is an abundant number, since it is smaller than the sum of its proper divisors (136404755136).

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

48522745440 is a wasteful number, since it uses less digits than its factorization.

48522745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96044 (or 96024 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 48522745440 in words is "forty-eight billion, five hundred twenty-two million, seven hundred forty-five thousand, four hundred forty".