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47225643168 = 2531144721253
BaseRepresentation
bin101011111110110111…
…100010000010100000
311111220020101020112010
4223332313202002200
51233204231040133
633410053232520
73261203225604
oct537667420240
9144806336463
1047225643168
111903470a770
12919b932740
1345b8050672
1424000a3504
151366023263
hexafede20a0

47225643168 has 48 divisors (see below), whose sum is σ = 135237072096. Its totient is φ = 14310800640.

The previous prime is 47225643151. The next prime is 47225643181. The reversal of 47225643168 is 86134652274.

47225643168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×472256431682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22359571 + ... + 22361682.

It is an arithmetic number, because the mean of its divisors is an integer number (2817439002).

Almost surely, 247225643168 is an apocalyptic number.

47225643168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47225643168 is an abundant number, since it is smaller than the sum of its proper divisors (88011428928).

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

47225643168 is a wasteful number, since it uses less digits than its factorization.

47225643168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44721277 (or 44721269 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 47225643168 in words is "forty-seven billion, two hundred twenty-five million, six hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 44721253 89442506 134163759 178885012 268327518 357770024 491933783 536655036 715540048 983867566 1073310072 1431080096 1475801349 1967735132 2146620144 2951602698 3935470264 4293240288 5903205396 7870940528 11806410792 15741881056 23612821584 47225643168