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41038649064 = 23327397205103
BaseRepresentation
bin100110001110000110…
…000001011011101000
310220221001110101011100
4212032012001123220
51133021343232224
630504120401400
72651655522120
oct461606013350
9126831411140
1041038649064
111644a27a4a6
127b53916260
133b403023ca
141db44d9c80
151102c9eac9
hex98e1816e8

41038649064 has 96 divisors (see below), whose sum is σ = 127344971520. Its totient is φ = 11695736448.

The previous prime is 41038649017. The next prime is 41038649087. The reversal of 41038649064 is 46094683014.

41038649064 is a `hidden beast` number, since 410 + 38 + 64 + 90 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97537 + ... + 302639.

It is an arithmetic number, because the mean of its divisors is an integer number (1326510120).

Almost surely, 241038649064 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 41038649064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63672485760).

41038649064 is an abundant number, since it is smaller than the sum of its proper divisors (86306322456).

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

41038649064 is a wasteful number, since it uses less digits than its factorization.

41038649064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205519 (or 205512 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 41038649064 in words is "forty-one billion, thirty-eight million, six hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 397 504 794 1191 1588 2382 2779 3176 3573 4764 5558 7146 8337 9528 11116 14292 16674 22232 25011 28584 33348 50022 66696 100044 200088 205103 410206 615309 820412 1230618 1435721 1640824 1845927 2461236 2871442 3691854 4307163 4922472 5742884 7383708 8614326 11485768 12921489 14767416 17228652 25842978 34457304 51685956 81425891 103371912 162851782 244277673 325703564 488555346 569981237 651407128 732833019 977110692 1139962474 1465666038 1709943711 1954221384 2279924948 2931332076 3419887422 4559849896 5129831133 5862664152 6839774844 10259662266 13679549688 20519324532 41038649064