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664175614720 = 2852383271811
BaseRepresentation
bin10011010101000111111…
…00111001101100000000
32100111100112121001210111
421222203330321230000
541340212424132340
61225041300241104
765661614401402
oct11524374715400
92314315531714
10664175614720
11236747901812
12a887b0a0194
134a829505c27
1424209522b72
1512423e84aea
hex9aa3f39b00

664175614720 has 144 divisors (see below), whose sum is σ = 1680085193472. Its totient is φ = 251056762880.

The previous prime is 664175614703. The next prime is 664175614723. The reversal of 664175614720 is 27416571466.

It is a super-2 number, since 2×6641756147202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (664175614723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307615 + ... + 2579425.

It is an arithmetic number, because the mean of its divisors is an integer number (11667258288).

Almost surely, 2664175614720 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 664175614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840042596736).

664175614720 is an abundant number, since it is smaller than the sum of its proper divisors (1015909578752).

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

664175614720 is a wasteful number, since it uses less digits than its factorization.

664175614720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271938 (or 271924 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 664175614720 in words is "six hundred sixty-four billion, one hundred seventy-five million, six hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 83 92 115 128 160 166 184 230 256 320 332 368 415 460 640 664 736 830 920 1280 1328 1472 1660 1840 1909 2656 2944 3320 3680 3818 5312 5888 6640 7360 7636 9545 10624 13280 14720 15272 19090 21248 26560 29440 30544 38180 53120 61088 76360 106240 122176 152720 244352 271811 305440 488704 543622 610880 1087244 1221760 1359055 2174488 2443520 2718110 4348976 5436220 6251653 8697952 10872440 12503306 17395904 21744880 22560313 25006612 31258265 34791808 43489760 45120626 50013224 62516530 69583616 86979520 90241252 100026448 112801565 125033060 173959040 180482504 200052896 225603130 250066120 347918080 360965008 400105792 451206260 500132240 518887199 721930016 800211584 902412520 1000264480 1037774398 1443860032 1600423168 1804825040 2000528960 2075548796 2594435995 2887720064 3609650080 4001057920 4151097592 5188871990 5775440128 7219300160 8002115840 8302195184 10377743980 14438600320 16604390368 20755487960 28877200640 33208780736 41510975920 66417561472 83021951840 132835122944 166043903680 332087807360 664175614720