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41001098688 = 2632116471133
BaseRepresentation
bin100110001011110110…
…110001110111000000
310220211102210121201200
4212023312301313000
51132432240124223
630500255501200
72651021405604
oct461366616700
9126742717650
1041001098688
1116430062330
127b43227800
133b355b5854
141dad523504
1510ee833a43
hex98bdb1dc0

41001098688 has 84 divisors (see below), whose sum is σ = 128206106808. Its totient is φ = 12424573440.

The previous prime is 41001098651. The next prime is 41001098701. The reversal of 41001098688 is 88689010014.

41001098688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3229231 + ... + 3241902.

Almost surely, 241001098688 is an apocalyptic number.

41001098688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41001098688 is an abundant number, since it is smaller than the sum of its proper divisors (87205008120).

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

41001098688 is a wasteful number, since it uses less digits than its factorization.

41001098688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471162 (or 6471149 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 41001098688 in words is "forty-one billion, one million, ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 6471133 12942266 19413399 25884532 38826798 51769064 58240197 71182463 77653596 103538128 116480394 142364926 155307192 207076256 213547389 232960788 284729852 310614384 414152512 427094778 465921576 569459704 621228768 640642167 854189556 931843152 1138919408 1242457536 1281284334 1708379112 1863686304 2277838816 2562568668 3416758224 3727372608 4555677632 5125137336 6833516448 10250274672 13667032896 20500549344 41001098688