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48348946944 = 293223974703
BaseRepresentation
bin101101000001110100…
…100110001000000000
311121210112001222121200
4231001310212020000
51243004312300234
634113341421200
73331063160664
oct550164461000
9147715058550
1048348946944
11195607a14a1
129453b6a800
1347369a045c
1424a934a8a4
1513ce95dd99
hexb41d26200

48348946944 has 240 divisors, whose sum is σ = 147137582592. Its totient is φ = 15253438464.

The previous prime is 48348946913. The next prime is 48348946949. The reversal of 48348946944 is 44964984384.

48348946944 is a `hidden beast` number, since 483 + 4 + 8 + 94 + 69 + 4 + 4 = 666.

It is a super-3 number, since 3×483489469443 (a number of 33 digits) contains 333 as substring.

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 (48348946949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10278097 + ... + 10282799.

Almost surely, 248348946944 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 48348946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73568791296).

48348946944 is an abundant number, since it is smaller than the sum of its proper divisors (98788635648).

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

48348946944 is a wasteful number, since it uses less digits than its factorization.

48348946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4828 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 48348946944 in words is "forty-eight billion, three hundred forty-eight million, nine hundred forty-six thousand, nine hundred forty-four".