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47921670144 = 21133866639
BaseRepresentation
bin101100101000010110…
…101010100000000000
311120200202002002001000
4230220112222200000
51241120421421034
634003115412000
73314354322015
oct545026524000
9146622062030
1047921670144
1119361596077
129354a54000
1346992cb54a
1424686c570c
1513a71ad599
hexb285aa800

47921670144 has 96 divisors (see below), whose sum is σ = 141955632000. Its totient is φ = 15973871616.

The previous prime is 47921670127. The next prime is 47921670151. The reversal of 47921670144 is 44107612974.

47921670144 is a `hidden beast` number, since 479 + 2 + 167 + 0 + 14 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47921670144.

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, 378024 + ... + 488615.

It is an arithmetic number, because the mean of its divisors is an integer number (1478704500).

Almost surely, 247921670144 is an apocalyptic number.

It is an amenable number.

47921670144 is an abundant number, since it is smaller than the sum of its proper divisors (94033961856).

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

47921670144 is an equidigital number, since it uses as much as digits as its factorization.

47921670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866670 (or 866644 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47921670144 in words is "forty-seven billion, nine hundred twenty-one million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 866639 1733278 2599917 3466556 5199834 6933112 7799751 10399668 13866224 15599502 20799336 23399253 27732448 31199004 41598672 46798506 55464896 62398008 83197344 93597012 110929792 124796016 166394688 187194024 221859584 249592032 332789376 374388048 443719168 499184064 665578752 748776096 887438336 998368128 1331157504 1497552192 1774876672 1996736256 2662315008 2995104384 3993472512 5324630016 5990208768 7986945024 11980417536 15973890048 23960835072 47921670144