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49657633168 = 24111367323933
BaseRepresentation
bin101110001111110100…
…110101100110010000
311202011201121010121211
4232033310311212100
51303144323230133
634451251225504
73405363626503
oct561764654620
9152151533554
1049657633168
111a072491860
12975a2a8294
1348b4b59cc0
14259108d13a
1514597b7bcd
hexb8fd35990

49657633168 has 80 divisors (see below), whose sum is σ = 114719282496. Its totient is φ = 20524331520.

The previous prime is 49657633139. The next prime is 49657633169. The reversal of 49657633168 is 86133675694.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49657633169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8671 + ... + 315262.

Almost surely, 249657633168 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 49657633168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57359641248).

49657633168 is an abundant number, since it is smaller than the sum of its proper divisors (65061649328).

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

49657633168 is a wasteful number, since it uses less digits than its factorization.

49657633168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324032 (or 324026 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The spelling of 49657633168 in words is "forty-nine billion, six hundred fifty-seven million, six hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 67 88 104 134 143 176 208 268 286 536 572 737 871 1072 1144 1474 1742 2288 2948 3484 5896 6968 9581 11792 13936 19162 38324 76648 153296 323933 647866 1295732 2591464 3563263 4211129 5182928 7126526 8422258 14253052 16844516 21703511 28506104 33689032 43407022 46322419 57012208 67378064 86814044 92644838 173628088 185289676 238738621 282145643 347256176 370579352 477477242 564291286 741158704 954954484 1128582572 1909908968 2257165144 3103602073 3819817936 4514330288 6207204146 12414408292 24828816584 49657633168