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661117416 = 233474091433
BaseRepresentation
bin100111011001111…
…101100111101000
31201002000020121020
4213121331213220
52323221224131
6145334012440
722245256011
oct4731754750
91632006536
10661117416
1130a202333
121654a7120
13a6c7734b
1463b36008
153d091996
hex2767d9e8

661117416 has 64 divisors (see below), whose sum is σ = 1693267200. Its totient is φ = 215006208.

The previous prime is 661117399. The next prime is 661117421. The reversal of 661117416 is 614711166.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460636 + ... + 462068.

It is an arithmetic number, because the mean of its divisors is an integer number (26457300).

Almost surely, 2661117416 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 661117416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846633600).

661117416 is an abundant number, since it is smaller than the sum of its proper divisors (1032149784).

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

661117416 is a wasteful number, since it uses less digits than its factorization.

661117416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 661117416 is about 25712.2036395172. The cubic root of 661117416 is about 871.1498496750.

The spelling of 661117416 in words is "six hundred sixty-one million, one hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 409 564 818 1128 1227 1433 1636 2454 2866 3272 4299 4908 5732 8598 9816 11464 17196 19223 34392 38446 57669 67351 76892 115338 134702 153784 202053 230676 269404 404106 461352 538808 586097 808212 1172194 1616424 1758291 2344388 3516582 4688776 7033164 14066328 27546559 55093118 82639677 110186236 165279354 220372472 330558708 661117416