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41742717102 = 2322923597681
BaseRepresentation
bin100110111000000011…
…110101000010101110
310222202010021201221100
4212320003311002232
51140442113421402
631102031143530
73005265145452
oct467003650256
9128663251840
1041742717102
1116780748209
12810b674ba6
133c23137308
14203dc12662
1511449c771c
hex9b80f50ae

41742717102 has 72 divisors (see below), whose sum is σ = 93941948880. Its totient is φ = 13395271680.

The previous prime is 41742717101. The next prime is 41742717113. The reversal of 41742717102 is 20171724714.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41742717101) 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 35 ways as a sum of consecutive naturals, for example, 5430702 + ... + 5438382.

It is an arithmetic number, because the mean of its divisors is an integer number (1304749290).

Almost surely, 241742717102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41742717102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46970974440).

41742717102 is an abundant number, since it is smaller than the sum of its proper divisors (52199231778).

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

41742717102 is a wasteful number, since it uses less digits than its factorization.

41742717102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 41742717102 in words is "forty-one billion, seven hundred forty-two million, seven hundred seventeen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 359 522 718 841 1077 1682 2154 2523 3231 5046 6462 7569 7681 10411 15138 15362 20822 23043 31233 46086 62466 69129 93699 138258 187398 222749 301919 445498 603838 668247 905757 1336494 1811514 2004741 2717271 2757479 4009482 5434542 5514958 6459721 8272437 12919442 16544874 19379163 24817311 38758326 49634622 58137489 79966891 116274978 159933782 239900673 479801346 719702019 1439404038 2319039839 4638079678 6957119517 13914239034 20871358551 41742717102