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66415641150 = 235210316725741
BaseRepresentation
bin111101110110101011…
…100100001000111110
320100102121202010220010
4331312223210020332
52042004401004100
650302205404050
74540561430565
oct756653441076
9210377663803
1066415641150
1126191997231
1210a56569626
136355982961
143300978bdc
151adaadd750
hexf76ae423e

66415641150 has 96 divisors (see below), whose sum is σ = 167312291328. Its totient is φ = 17433187200.

The previous prime is 66415641113. The next prime is 66415641199. The reversal of 66415641150 is 5114651466.

It is a happy number.

It is a super-2 number, since 2×664156411502 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66415641099 and 66415641108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567280 + ... + 2593020.

It is an arithmetic number, because the mean of its divisors is an integer number (1742836368).

Almost surely, 266415641150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66415641150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83656145664).

66415641150 is an abundant number, since it is smaller than the sum of its proper divisors (100896650178).

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

66415641150 is a wasteful number, since it uses less digits than its factorization.

66415641150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26026 (or 26021 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 66415641150 in words is "sixty-six billion, four hundred fifteen million, six hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 150 167 206 309 334 501 515 618 835 1002 1030 1545 1670 2505 2575 3090 4175 5010 5150 7725 8350 12525 15450 17201 25050 25741 34402 51482 51603 77223 86005 103206 128705 154446 172010 257410 258015 386115 430025 516030 643525 772230 860050 1287050 1290075 1930575 2580150 2651323 3861150 4298747 5302646 7953969 8597494 12896241 13256615 15907938 21493735 25792482 26513230 39769845 42987470 64481205 66283075 79539690 107468675 128962410 132566150 198849225 214937350 322406025 397698450 442770941 644812050 885541882 1328312823 2213854705 2656625646 4427709410 6641564115 11069273525 13283128230 22138547050 33207820575 66415641150