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48950486676 = 2236721319273
BaseRepresentation
bin101101100101101011…
…010010011010010100
311200100102222101000000
4231211223102122110
51300222311033201
634253150451300
73352016162100
oct554553223224
9150312871000
1048950486676
111983a301173
1295a1503b30
1348014b7b20
1425251b4900
151417682d86
hexb65ad2694

48950486676 has 756 divisors, whose sum is σ = 172138410612. Its totient is φ = 12063002112.

The previous prime is 48950486671. The next prime is 48950486687. The reversal of 48950486676 is 67668405984.

48950486676 is a `hidden beast` number, since 4 + 8 + 95 + 0 + 486 + 67 + 6 = 666.

48950486676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16712284176 + 32238202500 = 129276^2 + 179550^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48950486671) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 670554576 + ... + 670554648.

Almost surely, 248950486676 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 48950486676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86069205306).

48950486676 is an abundant number, since it is smaller than the sum of its proper divisors (123187923936).

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

48950486676 is a wasteful number, since it uses less digits than its factorization.

48950486676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 48950486676 in words is "forty-eight billion, nine hundred fifty million, four hundred eighty-six thousand, six hundred seventy-six".