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47304510016 = 263128772
BaseRepresentation
bin101100000011100100…
…011000101001000000
311112002201210002111111
4230003210120221000
51233334423310031
633421551453104
73263151462241
oct540344305100
9145081702444
1047304510016
1119075187585
129202227194
1345cb4a503a
14240a752cc8
15136ce011b1
hexb03918a40

47304510016 has 63 divisors (see below), whose sum is σ = 97106352777. Its totient is φ = 22863179520.

The previous prime is 47304509983. The next prime is 47304510041. The reversal of 47304510016 is 61001540374.

The square root of 47304510016 is 217496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39856129600 + 7448380416 = 199640^2 + 86304^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47304510016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53938570 + ... + 53939446.

It is an arithmetic number, because the mean of its divisors is an integer number (1541370679).

Almost surely, 247304510016 is an apocalyptic number.

47304510016 is the 217496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47304510016

47304510016 is an abundant number, since it is smaller than the sum of its proper divisors (49801842761).

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

47304510016 is an frugal number, since it uses more digits than its factorization.

47304510016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 47304510016 in words is "forty-seven billion, three hundred four million, five hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 877 961 992 1754 1922 1984 3508 3844 7016 7688 14032 15376 27187 28064 30752 54374 56128 61504 108748 217496 434992 769129 842797 869984 1538258 1685594 1739968 3076516 3371188 6153032 6742376 12306064 13484752 23842999 24612128 26969504 47685998 49224256 53939008 95371996 190743992 381487984 739132969 762975968 1478265938 1525951936 2956531876 5913063752 11826127504 23652255008 47304510016