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47448002496 = 263475419719
BaseRepresentation
bin101100001100000111…
…110000111111000000
311112110201210021011210
4230030013300333000
51234133142034441
633444115210120
73266543236536
oct541407607700
9145421707153
1047448002496
1119139184604
1292422a6940
134622135c2b
142421826156
15137a7e7616
hexb0c1f0fc0

47448002496 has 112 divisors (see below), whose sum is σ = 128460764160. Its totient is φ = 15449287680.

The previous prime is 47448002489. The next prime is 47448002509. The reversal of 47448002496 is 69420084474.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4877125 + ... + 4886843.

Almost surely, 247448002496 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 47448002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64230382080).

47448002496 is an abundant number, since it is smaller than the sum of its proper divisors (81012761664).

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

47448002496 is a wasteful number, since it uses less digits than its factorization.

47448002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10322 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 47448002496 in words is "forty-seven billion, four hundred forty-eight million, two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 541 564 752 1082 1128 1504 1623 2164 2256 3008 3246 4328 4512 6492 8656 9024 9719 12984 17312 19438 25427 25968 29157 34624 38876 50854 51936 58314 76281 77752 101708 103872 116628 152562 155504 203416 233256 305124 311008 406832 456793 466512 610248 622016 813664 913586 933024 1220496 1370379 1627328 1827172 1866048 2440992 2740758 3654344 4881984 5257979 5481516 7308688 10515958 10963032 14617376 15773937 21031916 21926064 29234752 31547874 42063832 43852128 63095748 84127664 87704256 126191496 168255328 247125013 252382992 336510656 494250026 504765984 741375039 988500052 1009531968 1482750078 1977000104 2965500156 3954000208 5931000312 7908000416 11862000624 15816000832 23724001248 47448002496