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41416828096 = 267148762171
BaseRepresentation
bin100110100100101000…
…101010010011000000
310221220102001212021011
4212210220222103000
51134310201444341
631005430210304
72664230141650
oct464450522300
9127812055234
1041416828096
11166237a0a56
12803a4b3994
133ba0773797
14200c820360
1511260a2b81
hex9a4a2a4c0

41416828096 has 56 divisors (see below), whose sum is σ = 93992126976. Its totient is φ = 17737847040.

The previous prime is 41416828087. The next prime is 41416828109. The reversal of 41416828096 is 69082861414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×414168280962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635091 + ... + 697261.

Almost surely, 241416828096 is an apocalyptic number.

It is an amenable number.

41416828096 is an abundant number, since it is smaller than the sum of its proper divisors (52575298880).

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

41416828096 is a wasteful number, since it uses less digits than its factorization.

41416828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63677 (or 63667 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 41416828096 in words is "forty-one billion, four hundred sixteen million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1487 2974 5948 10409 11896 20818 23792 41636 47584 62171 83272 95168 124342 166544 248684 333088 435197 497368 666176 870394 994736 1740788 1989472 3481576 3978944 6963152 13926304 27852608 92448277 184896554 369793108 647137939 739586216 1294275878 1479172432 2588551756 2958344864 5177103512 5916689728 10354207024 20708414048 41416828096