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48210431040 = 2633528319717
BaseRepresentation
bin101100111001100100…
…001100110001000000
311121102212102122112000
4230321210030301000
51242213332243130
634051512504000
73324461621352
oct547144146100
9147385378460
1048210431040
111949a593442
1294156ab000
134714092795
142494bb10d2
1513c26ec260
hexb3990cc40

48210431040 has 224 divisors, whose sum is σ = 170685317760. Its totient is φ = 12810037248.

The previous prime is 48210431023. The next prime is 48210431047. The reversal of 48210431040 is 4013401284.

It is a super-2 number, since 2×482104310402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48210430995 and 48210431013.

It is not an unprimeable number, because it can be changed into a prime (48210431047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2435262 + ... + 2454978.

Almost surely, 248210431040 is an apocalyptic number.

48210431040 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 48210431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85342658880).

48210431040 is an abundant number, since it is smaller than the sum of its proper divisors (122474886720).

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

48210431040 is a wasteful number, since it uses less digits than its factorization.

48210431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20026 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 48210431040 in words is "forty-eight billion, two hundred ten million, four hundred thirty-one thousand, forty".