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47018400144 = 2431284176283
BaseRepresentation
bin101011110010100000…
…111101100110010000
311111100210102012112120
4223302200331212100
51232243202301034
633333331254240
73253105543542
oct536240754620
9144323365476
1047018400144
1118a3872aa41
12914244a380
13458412b661
1423c0757692
151352c37c49
hexaf283d990

47018400144 has 40 divisors (see below), whose sum is σ = 121475251872. Its totient is φ = 15671374080.

The previous prime is 47018400139. The next prime is 47018400151. The reversal of 47018400144 is 44100481074.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578227 + ... + 654509.

Almost surely, 247018400144 is an apocalyptic number.

It is an amenable number.

47018400144 is an abundant number, since it is smaller than the sum of its proper divisors (74456851728).

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

47018400144 is a wasteful number, since it uses less digits than its factorization.

47018400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89135 (or 89129 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 47018400144 in words is "forty-seven billion, eighteen million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 12841 25682 38523 51364 76283 77046 102728 152566 154092 205456 228849 305132 308184 457698 610264 616368 915396 1220528 1830792 3661584 979550003 1959100006 2938650009 3918200012 5877300018 7836400024 11754600036 15672800048 23509200072 47018400144