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49190494464 = 2832311514561
BaseRepresentation
bin101101110011111110…
…110110000100000000
311200222011121000210100
4231303332312010000
51301220231310324
634333043002400
73360662206206
oct556376660400
9150864530710
1049190494464
111995282a611
129649969400
13483c13c377
14254900d076
15142d7914c9
hexb73fb6100

49190494464 has 216 divisors, whose sum is σ = 147405300224. Its totient is φ = 15759360000.

The previous prime is 49190494447. The next prime is 49190494469. The reversal of 49190494464 is 46449409194.

49190494464 is a `hidden beast` number, since 4 + 9 + 1 + 90 + 4 + 94 + 464 = 666.

49190494464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×491904944642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49190494464.

It is not an unprimeable number, because it can be changed into a prime (49190494469) 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, 10782744 + ... + 10787304.

Almost surely, 249190494464 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 49190494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73702650112).

49190494464 is an abundant number, since it is smaller than the sum of its proper divisors (98214805760).

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

49190494464 is a wasteful number, since it uses less digits than its factorization.

49190494464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 49190494464 in words is "forty-nine billion, one hundred ninety million, four hundred ninety-four thousand, four hundred sixty-four".