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47065744336 = 24135310334133
BaseRepresentation
bin101011110101010101…
…100100001111010000
311111111002111112120011
4223311111210033100
51232342312304321
633342142124304
73254222140342
oct536525441720
9144432445504
1047065744336
1118a62427376
129156280694
134590b96c80
1423c6b5d292
151356e8aae1
hexaf55643d0

47065744336 has 80 divisors (see below), whose sum is σ = 100178494416. Its totient is φ = 21287006208.

The previous prime is 47065744333. The next prime is 47065744343. The reversal of 47065744336 is 63344756074.

47065744336 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 8 ways, for example, as 5335425936 + 41730318400 = 73044^2 + 204280^2 .

It is a super-3 number, since 3×470657443363 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47065744336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47065744331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11385726 + ... + 11389858.

Almost surely, 247065744336 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 47065744336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50089247208).

47065744336 is an abundant number, since it is smaller than the sum of its proper divisors (53112750080).

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

47065744336 is a wasteful number, since it uses less digits than its factorization.

47065744336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 47065744336 in words is "forty-seven billion, sixty-five million, seven hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1033 1378 2066 2756 4132 4133 5512 8264 8266 11024 13429 16528 16532 26858 33064 53716 53729 54749 66128 107432 107458 109498 214864 214916 218996 219049 429832 437992 438098 711737 859664 875984 876196 1423474 1752392 2846948 2847637 3504784 4269389 5693896 5695274 8538778 11387792 11390548 17077556 22781096 34155112 45562192 55502057 68310224 111004114 222008228 226277617 444016456 452555234 888032912 905110468 1810220936 2941609021 3620441872 5883218042 11766436084 23532872168 47065744336