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661966312 = 237233159281
BaseRepresentation
bin100111011101001…
…100110111101000
31201010121101001211
4213131030313220
52323430410222
6145404122504
722255422640
oct4735146750
91633541054
10661966312
1130a7320a7
12165836434
13a71b3857
1463cb7520
153d1ad277
hex2774cde8

661966312 has 128 divisors (see below), whose sum is σ = 1559347200. Its totient is φ = 257241600.

The previous prime is 661966259. The next prime is 661966321. The reversal of 661966312 is 213669166.

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 31 ways as a sum of consecutive naturals, for example, 2355612 + ... + 2355892.

It is an arithmetic number, because the mean of its divisors is an integer number (12182400).

Almost surely, 2661966312 is an apocalyptic number.

661966312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661966312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779673600).

661966312 is an abundant number, since it is smaller than the sum of its proper divisors (897380888).

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

661966312 is a wasteful number, since it uses less digits than its factorization.

661966312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 661966312 is about 25728.7059915574. The cubic root of 661966312 is about 871.5225516641.

The spelling of 661966312 in words is "six hundred sixty-one million, nine hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 59 62 92 118 124 161 184 217 236 248 281 322 413 434 472 562 644 713 826 868 1124 1288 1357 1426 1652 1736 1829 1967 2248 2714 2852 3304 3658 3934 4991 5428 5704 6463 7316 7868 8711 9499 9982 10856 12803 12926 14632 15736 16579 17422 18998 19964 25606 25852 33158 34844 37996 39928 42067 45241 51212 51704 60977 66316 69688 75992 84134 90482 102424 116053 121954 132632 168268 180964 200353 232106 243908 294469 336536 361928 381317 400706 464212 487816 513949 588938 762634 801412 928424 1027898 1177876 1402471 1525268 1602824 2055796 2355752 2669219 2804942 3050536 3597643 4111592 5338438 5609884 7195286 10676876 11219768 11820827 14390572 21353752 23641654 28781144 47283308 82745789 94566616 165491578 330983156 661966312