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47199151441 = 13176113032687
BaseRepresentation
bin101011111101010010…
…011110010101010001
311111211101112022201001
4223331102132111101
51233130440321231
633403305342001
73260432111341
oct537522362521
9144741468631
1047199151441
1119020766082
129192a97901
1345b27064a0
1423da768d21
151363a3db61
hexafd49e551

47199151441 has 32 divisors (see below), whose sum is σ = 54764494848. Its totient is φ = 40287421440.

The previous prime is 47199151421. The next prime is 47199151469. The reversal of 47199151441 is 14415199174.

It is not a de Polignac number, because 47199151441 - 25 = 47199151409 is a prime.

It is a super-3 number, since 3×471991514413 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47199151391 and 47199151400.

It is not an unprimeable number, because it can be changed into a prime (47199151421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17564400 + ... + 17567086.

It is an arithmetic number, because the mean of its divisors is an integer number (1711390464).

Almost surely, 247199151441 is an apocalyptic number.

It is an amenable number.

47199151441 is a deficient number, since it is larger than the sum of its proper divisors (7565343407).

47199151441 is a wasteful number, since it uses less digits than its factorization.

47199151441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081.

The product of its digits is 181440, while the sum is 46.

The spelling of 47199151441 in words is "forty-seven billion, one hundred ninety-nine million, one hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 13 17 61 221 793 1037 1303 2687 13481 16939 22151 34931 45679 79483 163907 287963 593827 1033279 1351211 2130791 2786419 3501161 17565743 36223447 45515093 59519737 213570821 773756581 2776420673 3630703957 47199151441