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66653065960 = 23513267147163
BaseRepresentation
bin111110000100110101…
…010001001011101000
320101001011111120111121
4332010311101023220
52043001141102320
650341530305024
74546503466315
oct760465211350
9211034446447
1066653065960
11262a3a10a88
1210b01b88174
136392c11600
1433242ddd0c
151b0188b8aa
hexf84d512e8

66653065960 has 96 divisors (see below), whose sum is σ = 164817793440. Its totient is φ = 24242879232.

The previous prime is 66653065951. The next prime is 66653065991. The reversal of 66653065960 is 6956035666.

It is a happy number.

It is a super-2 number, since 2×666530659602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 66653065898 and 66653065907.

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 23 ways as a sum of consecutive naturals, for example, 379339 + ... + 526501.

It is an arithmetic number, because the mean of its divisors is an integer number (1716852015).

Almost surely, 266653065960 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 66653065960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82408896720).

66653065960 is an abundant number, since it is smaller than the sum of its proper divisors (98164727480).

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

66653065960 is a wasteful number, since it uses less digits than its factorization.

66653065960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147267 (or 147250 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 52.

The spelling of 66653065960 in words is "sixty-six billion, six hundred fifty-three million, sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 169 260 268 335 338 520 536 670 676 845 871 1340 1352 1690 1742 2680 3380 3484 4355 6760 6968 8710 11323 17420 22646 34840 45292 56615 90584 113230 147163 226460 294326 452920 588652 735815 1177304 1471630 1913119 2943260 3826238 5886520 7652476 9565595 9859921 15304952 19131190 19719842 24870547 38262380 39439684 49299605 49741094 76524760 78879368 98599210 99482188 124352735 128178973 197198420 198964376 248705470 256357946 394396840 497410940 512715892 640894865 994821880 1025431784 1281789730 1666326649 2563579460 3332653298 5127158920 6665306596 8331633245 13330613192 16663266490 33326532980 66653065960