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661747216 = 241324147127
BaseRepresentation
bin100111011100010…
…111011000010000
31201010012020112011
4213130113120100
52323401402331
6145355312304
722253521114
oct4734273020
91633166464
10661747216
1130a5a2529
1216574b694
13a7137c00
1463c5b744
153d1683b1
hex27717610

661747216 has 120 divisors (see below), whose sum is σ = 1463906304. Its totient is φ = 289336320.

The previous prime is 661747211. The next prime is 661747217. The reversal of 661747216 is 612747166.

It is not an unprimeable number, because it can be changed into a prime (661747211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5210545 + ... + 5210671.

Almost surely, 2661747216 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 661747216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731953152).

661747216 is an abundant number, since it is smaller than the sum of its proper divisors (802159088).

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

661747216 is a wasteful number, since it uses less digits than its factorization.

661747216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 661747216 is about 25724.4478269214. The cubic root of 661747216 is about 871.4263895826.

Subtracting from 661747216 its reverse (612747166), we obtain a triangular number (49000050 = T9899).

The spelling of 661747216 in words is "six hundred sixty-one million, seven hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 41 47 52 82 94 104 127 164 169 188 208 254 328 338 376 508 533 611 656 676 752 1016 1066 1222 1352 1651 1927 2032 2132 2444 2704 3302 3854 4264 4888 5207 5969 6604 6929 7708 7943 8528 9776 10414 11938 13208 13858 15416 15886 20828 21463 23876 25051 26416 27716 30832 31772 41656 42926 47752 50102 55432 63544 67691 77597 83312 85852 95504 100204 110864 127088 135382 155194 171704 200408 244729 270764 310388 325663 343408 400816 489458 541528 620776 651326 879983 978916 1008761 1083056 1241552 1302652 1759966 1957832 2017522 2605304 3181477 3519932 3915664 4035044 5210608 6362954 7039864 8070088 12725908 14079728 16140176 25451816 41359201 50903632 82718402 165436804 330873608 661747216