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49889637504 = 2733743199241
BaseRepresentation
bin101110011101101001…
…110111010010000000
311202202220011011202000
4232131221313102000
51304133221400004
634530300024000
73414211631130
oct563551672200
9152686134660
1049889637504
111a181444083
129803b32000
134920c3b685
1425b3c02ac0
15146ed44c39
hexb9da77480

49889637504 has 512 divisors, whose sum is σ = 173775360000. Its totient is φ = 13795246080.

The previous prime is 49889637463. The next prime is 49889637533. The reversal of 49889637504 is 40573698894.

49889637504 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 96 + 37 + 504 = 666.

49889637504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207010824 + ... + 207011064.

It is an arithmetic number, because the mean of its divisors is an integer number (339405000).

Almost surely, 249889637504 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 49889637504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86887680000).

49889637504 is an abundant number, since it is smaller than the sum of its proper divisors (123885722496).

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

49889637504 is a wasteful number, since it uses less digits than its factorization.

49889637504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 49889637504 in words is "forty-nine billion, eight hundred eighty-nine million, six hundred thirty-seven thousand, five hundred four".