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47657461510672 = 241313114653119363
BaseRepresentation
bin10101101011000000111100…
…00100000111001000010000
320020202000020102201020012221
422311200132010013020100
522221304440121320142
6245205311403430424
713016065215664156
oct1265403604071020
9206660212636187
1047657461510672
1114204463660402
125418403525414
1320791053c3280
14baa8c22593d6
15579a2ec0b767
hex2b581e107210

47657461510672 has 80 divisors (see below), whose sum is σ = 100205881288128. Its totient is φ = 21826172459520.

The previous prime is 47657461510639. The next prime is 47657461510777. The reversal of 47657461510672 is 27601516475674.

It is a self number, because there is not a number n which added to its sum of digits gives 47657461510672.

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 15 ways as a sum of consecutive naturals, for example, 399205263 + ... + 399324625.

Almost surely, 247657461510672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47657461510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50102940644064).

47657461510672 is an abundant number, since it is smaller than the sum of its proper divisors (52548419777456).

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

47657461510672 is a wasteful number, since it uses less digits than its factorization.

47657461510672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134168 (or 134162 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 47657461510672 in words is "forty-seven trillion, six hundred fifty-seven billion, four hundred sixty-one million, five hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 524 1048 1703 2096 3406 6812 13624 14653 27248 29306 58612 117224 119363 190489 234448 238726 380978 477452 761956 954904 1523912 1551719 1909808 1919543 3047824 3103438 3839086 6206876 7678172 12413752 15356344 15636553 24827504 24954059 30712688 31273106 49908118 62546212 99816236 125092424 199632472 203275189 250184848 399264944 406550378 813100756 1626201512 1749026039 3252403024 3498052078 6996104156 13992208312 22737338507 27984416624 45474677014 90949354028 181898708056 229122411109 363797416112 458244822218 916489644436 1832979288872 2978591344417 3665958577744 5957182688834 11914365377668 23828730755336 47657461510672