Search a number
-
+
47410717172 = 227132171095407
BaseRepresentation
bin101100001001111001…
…100010000111110100
311112101010121222022212
4230021321202013310
51234044120422142
633440304112552
73265611306140
oct541171420764
9145333558285
1047410717172
111911a128595
129231905758
1346174acc00
14241a8bc220
1513773ced82
hexb09e621f4

47410717172 has 144 divisors (see below), whose sum is σ = 109733944320. Its totient is φ = 17487415296.

The previous prime is 47410717139. The next prime is 47410717229. The reversal of 47410717172 is 27171701474.

It is a super-2 number, since 2×474107171722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8765693 + ... + 8771099.

It is an arithmetic number, because the mean of its divisors is an integer number (762041280).

Almost surely, 247410717172 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 47410717172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54866972160).

47410717172 is an abundant number, since it is smaller than the sum of its proper divisors (62323227148).

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

47410717172 is a wasteful number, since it uses less digits than its factorization.

47410717172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 41.

The spelling of 47410717172 in words is "forty-seven billion, four hundred ten million, seven hundred seventeen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 109 119 169 182 218 221 238 338 364 436 442 476 676 763 884 1183 1417 1526 1547 1853 2366 2834 2873 3052 3094 3706 4732 5407 5668 5746 6188 7412 9919 10814 11492 12971 18421 19838 20111 21628 24089 25942 36842 37849 39676 40222 48178 51884 70291 73684 75698 80444 91919 96356 128947 140582 151396 168623 183838 257894 281164 313157 337246 367676 492037 515788 589363 626314 643433 674492 913783 984074 1178726 1194947 1252628 1286866 1827566 1968148 2192099 2357452 2389894 2573732 3655132 4125541 4384198 4779788 6396481 7661719 8251082 8364629 8768396 10019171 12792962 15323438 15534311 16502164 16729258 20038342 25585924 30646876 31068622 33458516 40076684 53632033 62137244 70134197 99602347 107264066 108740177 130249223 140268394 199204694 214528132 217480354 260498446 280536788 398409388 434960708 520996892 697216429 911744561 1394432858 1693239899 1823489122 2788865716 3386479798 3646978244 6772959596 11852679293 23705358586 47410717172