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66656006550 = 23252748743451
BaseRepresentation
bin111110000101000000…
…011111000110010110
320101001101000222020100
4332011000133012112
52043002414202200
650342113314530
74546540464420
oct760500370626
9211041028210
1066656006550
11262a563a321
1210b02b65a46
136393700bc3
143324867810
151b01c6cd00
hexf8501f196

66656006550 has 144 divisors (see below), whose sum is σ = 205090659072. Its totient is φ = 15204024000.

The previous prime is 66656006509. The next prime is 66656006551. The reversal of 66656006550 is 5560065666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 66656006496 and 66656006505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66656006551) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1512325 + ... + 1555775.

It is an arithmetic number, because the mean of its divisors is an integer number (1424240688).

Almost surely, 266656006550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66656006550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102545329536).

66656006550 is an abundant number, since it is smaller than the sum of its proper divisors (138434652522).

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

66656006550 is a wasteful number, since it uses less digits than its factorization.

66656006550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43963 (or 43955 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 66656006550 in words is "sixty-six billion, six hundred fifty-six million, six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 487 525 630 974 1050 1461 1575 2435 2922 3150 3409 4383 4870 6818 7305 8766 10227 12175 14610 17045 20454 21915 24350 30681 34090 36525 43451 43830 51135 61362 73050 85225 86902 102270 109575 130353 153405 170450 217255 219150 255675 260706 304157 306810 391059 434510 511350 608314 651765 767025 782118 912471 1086275 1303530 1520785 1534050 1824942 1955295 2172550 2737413 3041570 3258825 3910590 4562355 5474826 6517650 7603925 9124710 9776475 13687065 15207850 19552950 21160637 22811775 27374130 42321274 45623550 63481911 68435325 105803185 126963822 136870650 148124459 190445733 211606370 296248918 317409555 380891466 444373377 529015925 634819110 740622295 888746754 952228665 1058031850 1333120131 1481244590 1587047775 1904457330 2221866885 2666240262 3174095550 3703111475 4443733770 4761143325 6665600655 7406222950 9522286650 11109334425 13331201310 22218668850 33328003275 66656006550