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41524200416 = 2531411278039
BaseRepresentation
bin100110101011000010…
…010000001111100000
310222011220002221101202
4212223002100033200
51140020143403131
631024223420332
73000002610536
oct465302201740
9128156087352
1041524200416
1116679368406
12806a4546a8
133bb9a98aba
14201cbb0156
151130711bcb
hex9ab0903e0

41524200416 has 96 divisors (see below), whose sum is σ = 87137648640. Its totient is φ = 19445529600.

The previous prime is 41524200407. The next prime is 41524200439. The reversal of 41524200416 is 61400242514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5161325 + ... + 5169363.

It is an arithmetic number, because the mean of its divisors is an integer number (907683840).

Almost surely, 241524200416 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 41524200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43568824320).

41524200416 is an abundant number, since it is smaller than the sum of its proper divisors (45613448224).

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

41524200416 is a wasteful number, since it uses less digits than its factorization.

41524200416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 41524200416 in words is "forty-one billion, five hundred twenty-four million, two hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 127 164 248 254 328 496 508 656 992 1016 1271 1312 2032 2542 3937 4064 5084 5207 7874 8039 10168 10414 15748 16078 20336 20828 31496 32156 40672 41656 62992 64312 83312 125984 128624 161417 166624 249209 257248 322834 329599 498418 645668 659198 996836 1020953 1291336 1318396 1993672 2041906 2582672 2636792 3987344 4083812 5165344 5273584 7974688 8167624 10217569 10547168 16335248 20435138 31649543 32670496 40870276 41859073 63299086 81740552 83718146 126598172 163481104 167436292 253196344 326962208 334872584 506392688 669745168 1012785376 1297631263 1339490336 2595262526 5190525052 10381050104 20762100208 41524200416