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41086843649604 = 2232792135232
BaseRepresentation
bin10010101011110010001101…
…01110000111111001000100
312101110212022202222221011100
421111321012232013321010
520341131323433241404
6223215011351340100
711440266200454414
oct1125710656077104
9171425282887140
1041086843649604
1112100918121305
124736aa4981630
1319c061b78a7cc
14a20884558644
154b3b6a684d39
hex255e46b87e44

41086843649604 has 81 divisors (see below), whose sum is σ = 105197494221183. Its totient is φ = 13521252395664.

The previous prime is 41086843649587. The next prime is 41086843649641. The reversal of 41086843649604 is 40694634868014.

It is a happy number.

The square root of 41086843649604 is 6409902.

It is a perfect power (a square), and thus also a powerful number.

41086843649604 is a `hidden beast` number, since 4 + 10 + 8 + 6 + 8 + 4 + 3 + 6 + 4 + 9 + 604 = 666.

41086843649604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3038286787 + ... + 3038300309.

Almost surely, 241086843649604 is an apocalyptic number.

41086843649604 is the 6409902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41086843649604

41086843649604 is an abundant number, since it is smaller than the sum of its proper divisors (64110650571579).

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

41086843649604 is an frugal number, since it uses more digits than its factorization.

41086843649604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27214 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 41086843649604 in words is "forty-one trillion, eighty-six billion, eight hundred forty-three million, six hundred forty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 6241 12482 13523 18723 24964 27046 37446 40569 54092 56169 74892 81138 112338 121707 162276 224676 243414 486828 1068317 2136634 3204951 4273268 6409902 9614853 12819804 19229706 38459412 84397043 168794086 182871529 253191129 337588172 365743058 506382258 548614587 731486116 759573387 1012764516 1097229174 1519146774 1645843761 2194458348 3038293548 3291687522 6583375044 14446850791 28893701582 43340552373 57787403164 86681104746 130021657119 173362209492 260043314238 520086628476 1141301212489 2282602424978 3423903637467 4565204849956 6847807274934 10271710912401 13695614549868 20543421824802 41086843649604