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41145511792 = 247113276011
BaseRepresentation
bin100110010100011101…
…101010111101110000
310221012111112120021011
4212110131222331300
51133231222334132
630522455040304
72654424036220
oct462435527560
9127174476234
1041145511792
11164a4629000
127b83670094
133b594a97a8
141dc4796080
15110c35cb47
hex99476af70

41145511792 has 80 divisors (see below), whose sum is σ = 100212228864. Its totient is φ = 16030660800.

The previous prime is 41145511753. The next prime is 41145511793. The reversal of 41145511792 is 29711554114.

It is a super-2 number, since 2×411455117922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145511793) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11067 + ... + 287077.

Almost surely, 241145511792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41145511792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50106114432).

41145511792 is an abundant number, since it is smaller than the sum of its proper divisors (59066717072).

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

41145511792 is a wasteful number, since it uses less digits than its factorization.

41145511792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276059 (or 276031 counting only the distinct ones).

The product of its digits is 50400, while the sum is 40.

The spelling of 41145511792 in words is "forty-one billion, one hundred forty-five million, five hundred eleven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1331 1694 1936 2662 3388 5324 6776 9317 10648 13552 18634 21296 37268 74536 149072 276011 552022 1104044 1932077 2208088 3036121 3864154 4416176 6072242 7728308 12144484 15456616 21252847 24288968 30913232 33397331 42505694 48577936 66794662 85011388 133589324 170022776 233781317 267178648 340045552 367370641 467562634 534357296 734741282 935125268 1469482564 1870250536 2571594487 2938965128 3740501072 5143188974 5877930256 10286377948 20572755896 41145511792