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47443083072 = 2637113209083
BaseRepresentation
bin101100001011110100…
…111111111101000000
311112110101112022222220
4230023310333331000
51234130412124242
633443421531040
73266453360310
oct541364777500
9145411468886
1047443083072
1119136424570
129240713a80
134621102a28
142420d05440
15137a174bec
hexb0bd3ff40

47443083072 has 112 divisors (see below), whose sum is σ = 156500608512. Its totient is φ = 12322874880.

The previous prime is 47443083067. The next prime is 47443083091. The reversal of 47443083072 is 27038034474.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×474430830722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1589758 + ... + 1619325.

Almost surely, 247443083072 is an apocalyptic number.

47443083072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47443083072 is an abundant number, since it is smaller than the sum of its proper divisors (109057525440).

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

47443083072 is a wasteful number, since it uses less digits than its factorization.

47443083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209116 (or 3209106 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 47443083072 in words is "forty-seven billion, four hundred forty-three million, eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 3209083 6418166 9627249 12836332 19254498 22463581 25672664 35299913 38508996 44927162 51345328 67390743 70599826 77017992 89854324 102690656 105899739 134781486 141199652 154035984 179708648 205381312 211799478 247099391 269562972 282399304 308071968 359417296 423598956 494198782 539125944 564798608 616143936 718834592 741298173 847197912 988397564 1078251888 1129597216 1437669184 1482596346 1694395824 1976795128 2156503776 2259194432 2965192692 3388791648 3953590256 4313007552 5930385384 6777583296 7907180512 11860770768 15814361024 23721541536 47443083072