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661335168 = 27313137967
BaseRepresentation
bin100111011010110…
…010110010000000
31201002102022022010
4213122302302000
52323300211133
6145342412520
722250153604
oct4732626200
91632368263
10661335168
1130a34099a
12165591140
13a70224b0
1463b91504
153d0d6263
hex276b2c80

661335168 has 128 divisors (see below), whose sum is σ = 1907579520. Its totient is φ = 201793536.

The previous prime is 661335163. The next prime is 661335187. The reversal of 661335168 is 861533166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (661335163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 683421 + ... + 684387.

It is an arithmetic number, because the mean of its divisors is an integer number (14902965).

Almost surely, 2661335168 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 661335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953789760).

661335168 is an abundant number, since it is smaller than the sum of its proper divisors (1246244352).

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

661335168 is a wasteful number, since it uses less digits than its factorization.

661335168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 661335168 is about 25716.4377004281. The cubic root of 661335168 is about 871.2454826114.

The spelling of 661335168 in words is "six hundred sixty-one million, three hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 137 156 192 208 274 312 384 411 416 548 624 822 832 967 1096 1248 1644 1664 1781 1934 2192 2496 2901 3288 3562 3868 4384 4992 5343 5802 6576 7124 7736 8768 10686 11604 12571 13152 14248 15472 17536 21372 23208 25142 26304 28496 30944 37713 42744 46416 50284 52608 56992 61888 75426 85488 92832 100568 113984 123776 132479 150852 170976 185664 201136 227968 264958 301704 341952 371328 397437 402272 529916 603408 683904 794874 804544 1059832 1206816 1589748 1609088 1722227 2119664 2413632 3179496 3444454 4239328 4827264 5166681 6358992 6888908 8478656 10333362 12717984 13777816 16957312 20666724 25435968 27555632 41333448 50871936 55111264 82666896 110222528 165333792 220445056 330667584 661335168