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41136639296 = 266145723057
BaseRepresentation
bin100110010011111011…
…110100110101000000
310221011212211210111012
4212103323310311000
51133221434424141
630521540540052
72654255443664
oct462373646500
9127155753435
1041136639296
111649a618a65
127b806b1628
133b576c11ac
141dc35268a4
15110b6a8ceb
hex993ef4d40

41136639296 has 56 divisors (see below), whose sum is σ = 83153880936. Its totient is φ = 20185989120.

The previous prime is 41136639293. The next prime is 41136639353. The reversal of 41136639296 is 69293663114.

It is a happy number.

41136639296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12440279296 + 28696360000 = 111536^2 + 169400^2 .

It is a super-2 number, since 2×411366392962 (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 (41136639293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1772600 + ... + 1795656.

It is an arithmetic number, because the mean of its divisors is an integer number (1484890731).

Almost surely, 241136639296 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 41136639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41576940468).

41136639296 is an abundant number, since it is smaller than the sum of its proper divisors (42017241640).

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

41136639296 is a wasteful number, since it uses less digits than its factorization.

41136639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23587 (or 23577 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 50.

The spelling of 41136639296 in words is "forty-one billion, one hundred thirty-six million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 457 488 914 976 1828 1952 3656 3904 7312 14624 23057 27877 29248 46114 55754 92228 111508 184456 223016 368912 446032 737824 892064 1406477 1475648 1784128 2812954 5625908 10537049 11251816 21074098 22503632 42148196 45007264 84296392 90014528 168592784 337185568 642759989 674371136 1285519978 2571039956 5142079912 10284159824 20568319648 41136639296