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661541053050 = 2325229193262657
BaseRepresentation
bin10011010000001101110…
…10110110001001111010
32100020112221012110121100
421220012322312021322
541314314002144200
61223524024352230
765536414112523
oct11500672661172
92306487173540
10661541053050
11235615750619
12a8264915676
134a4c97518b7
142403968584a
151231ca28d00
hex9a06eb627a

661541053050 has 144 divisors (see below), whose sum is σ = 1848161498040. Its totient is φ = 169444638720.

The previous prime is 661541053049. The next prime is 661541053051. The reversal of 661541053050 is 50350145166.

661541053050 is a `hidden beast` number, since 6 + 61 + 5 + 4 + 10 + 530 + 50 = 666.

661541053050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (661541053049) and next prime (661541053051).

It can be written as a sum of positive squares in 12 ways, for example, as 45672391521 + 615868661529 = 213711^2 + 784773^2 .

It is a junction number, because it is equal to n+sod(n) for n = 661541052996 and 661541053014.

It is not an unprimeable number, because it can be changed into a prime (661541053051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2387322 + ... + 2649978.

Almost surely, 2661541053050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661541053050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924080749020).

661541053050 is an abundant number, since it is smaller than the sum of its proper divisors (1186620444990).

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

661541053050 is a wasteful number, since it uses less digits than its factorization.

661541053050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262897 (or 262889 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 661541053050 in words is "six hundred sixty-one billion, five hundred forty-one million, fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 193 225 261 290 386 435 450 522 579 725 870 965 1158 1305 1450 1737 1930 2175 2610 2895 3474 4350 4825 5597 5790 6525 8685 9650 11194 13050 14475 16791 17370 27985 28950 33582 43425 50373 55970 83955 86850 100746 139925 167910 251865 262657 279850 419775 503730 525314 787971 839550 1259325 1313285 1575942 2363913 2518650 2626570 3939855 4727826 6566425 7617053 7879710 11819565 13132850 15234106 19699275 22851159 23639130 38085265 39398550 45702318 50692801 59097825 68553477 76170530 101385602 114255795 118195650 137106954 152078403 190426325 228511590 253464005 304156806 342767385 380852650 456235209 506928010 571278975 685534770 760392015 912470418 1142557950 1267320025 1470091229 1520784030 1713836925 2281176045 2534640050 2940182458 3427673850 3801960075 4410273687 4562352090 7350456145 7603920150 8820547374 11405880225 13230821061 14700912290 22051368435 22811760450 26461642122 36752280725 44102736870 66154105305 73504561450 110256842175 132308210610 220513684350 330770526525 661541053050