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47782849152 = 273461269923
BaseRepresentation
bin101100100000000101…
…000110101010000000
311120100001212020102210
4230200011012222000
51240324402133102
633541240142120
73311050342053
oct544005065200
9146301766383
1047782849152
11192a0199885
129316467940
134676614a4c
1424540aaa9a
151399ddb36c
hexb20146a80

47782849152 has 64 divisors (see below), whose sum is σ = 127198985760. Its totient is φ = 15893007360.

The previous prime is 47782849139. The next prime is 47782849199. The reversal of 47782849152 is 25194828774.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 47782849092 and 47782849101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42063 + ... + 311985.

Almost surely, 247782849152 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 47782849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63599492880).

47782849152 is an abundant number, since it is smaller than the sum of its proper divisors (79416136608).

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

47782849152 is a wasteful number, since it uses less digits than its factorization.

47782849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270401 (or 270389 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 47782849152 in words is "forty-seven billion, seven hundred eighty-two million, eight hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 461 922 1383 1844 2766 3688 5532 7376 11064 14752 22128 29504 44256 59008 88512 177024 269923 539846 809769 1079692 1619538 2159384 3239076 4318768 6478152 8637536 12956304 17275072 25912608 34550144 51825216 103650432 124434503 248869006 373303509 497738012 746607018 995476024 1493214036 1990952048 2986428072 3981904096 5972856144 7963808192 11945712288 15927616384 23891424576 47782849152