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47115024384 = 211375110211
BaseRepresentation
bin101011111000010001…
…100011100000000000
311111121112020020002010
4223320101203200000
51232442421240014
633351102252520
73255361046061
oct537021434000
9144545206063
1047115024384
1118a8822618a
12916a887140
13459b15c76c
1423cd50a568
15135b472359
hexaf8463800

47115024384 has 96 divisors (see below), whose sum is σ = 125788965120. Its totient is φ = 15682560000.

The previous prime is 47115024367. The next prime is 47115024401. The reversal of 47115024384 is 48342051174.

It is an interprime number because it is at equal distance from previous prime (47115024367) and next prime (47115024401).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4609039 + ... + 4619249.

It is an arithmetic number, because the mean of its divisors is an integer number (1310301720).

Almost surely, 247115024384 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 47115024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894482560).

47115024384 is an abundant number, since it is smaller than the sum of its proper divisors (78673940736).

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

47115024384 is a wasteful number, since it uses less digits than its factorization.

47115024384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10987 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 47115024384 in words is "forty-seven billion, one hundred fifteen million, twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 751 768 1024 1502 1536 2048 2253 3004 3072 4506 6008 6144 9012 10211 12016 18024 20422 24032 30633 36048 40844 48064 61266 72096 81688 96128 122532 144192 163376 192256 245064 288384 326752 384512 490128 576768 653504 769024 980256 1153536 1307008 1538048 1960512 2307072 2614016 3921024 4614144 5228032 7668461 7842048 10456064 15336922 15684096 20912128 23005383 30673844 31368192 46010766 61347688 62736384 92021532 122695376 184043064 245390752 368086128 490781504 736172256 981563008 1472344512 1963126016 2944689024 3926252032 5889378048 7852504064 11778756096 15705008128 23557512192 47115024384