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66426366000 = 2435331357131
BaseRepresentation
bin111101110111010100…
…011110100000110000
320100110100221000121210
4331313110132200300
52042020122203000
650303231320120
74541051536431
oct756724364060
9210410830553
1066426366000
1126197a51a45
1210a5a080040
136357c69417
14330216b488
151adba0b350
hexf7751e830

66426366000 has 160 divisors (see below), whose sum is σ = 221067565056. Its totient is φ = 17142240000.

The previous prime is 66426365977. The next prime is 66426366053. The reversal of 66426366000 is 66362466.

It is a self number, because there is not a number n which added to its sum of digits gives 66426366000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7435 + ... + 364565.

Almost surely, 266426366000 is an apocalyptic number.

66426366000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66426366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110533782528).

66426366000 is an abundant number, since it is smaller than the sum of its proper divisors (154641199056).

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

66426366000 is a wasteful number, since it uses less digits than its factorization.

66426366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357188 (or 357172 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 66426366000 in words is "sixty-six billion, four hundred twenty-six million, three hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 93000 186000 357131 714262 1071393 1428524 1785655 2142786 2857048 3571310 4285572 5356965 5714096 7142620 8571144 8928275 10713930 11071061 14285240 17142288 17856550 21427860 22142122 26784825 28570480 33213183 35713100 42855720 44284244 44641375 53569650 55355305 66426366 71426200 85711440 88568488 89282750 107139300 110710610 132852732 133924125 142852400 166065915 177136976 178565500 214278600 221421220 265705464 267848250 276776525 332131830 357131000 428557200 442842440 531410928 535696500 553553050 664263660 714262000 830329575 885684880 1071393000 1107106100 1328527320 1383882625 1660659150 2142786000 2214212200 2657054640 2767765250 3321318300 4151647875 4428424400 5535530500 6642636600 8303295750 11071061000 13285273200 16606591500 22142122000 33213183000 66426366000