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47916061974 = 23311372180183
BaseRepresentation
bin101100101000000001…
…010001010100010110
311120200100112011002000
4230220001101110112
51241113002440344
634002355300130
73314255543454
oct545001212426
9146610464060
1047916061974
1119359405620
129352baa646
1346980b69c1
142467a659d4
1513a6951a69
hexb28051516

47916061974 has 64 divisors (see below), whose sum is σ = 119299668480. Its totient is φ = 14127579360.

The previous prime is 47916061961. The next prime is 47916062021.

47916061974 is a `hidden beast` number, since 4 + 7 + 9 + 16 + 0 + 619 + 7 + 4 = 666.

47916061974 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47916061974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068114 + ... + 1112069.

It is an arithmetic number, because the mean of its divisors is an integer number (1864057320).

Almost surely, 247916061974 is an apocalyptic number.

47916061974 is an abundant number, since it is smaller than the sum of its proper divisors (71383606506).

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

47916061974 is a wasteful number, since it uses less digits than its factorization.

47916061974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180242 (or 2180236 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 47916061974 in words is "forty-seven billion, nine hundred sixteen million, sixty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1998 2442 3663 7326 10989 21978 2180183 4360366 6540549 13081098 19621647 23982013 39243294 47964026 58864941 71946039 80666771 117729882 143892078 161333542 215838117 242000313 431676234 484000626 647514351 726000939 887334481 1295028702 1452001878 1774668962 2178002817 2662003443 4356005634 5324006886 7986010329 15972020658 23958030987 47916061974