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41836042816224 = 25317173148178209
BaseRepresentation
bin10011000001100101101100…
…11110001000101011100000
312111010111010202101221122120
421200302312132020223200
520440420203430104344
6224551113541504240
711545361066346456
oct1140626636105340
9174114122357576
1041836042816224
111236a625562a88
124838132112080
131a46177ab2157
14a48c37a889d6
154c83b8b43219
hex260cb6788ae0

41836042816224 has 96 divisors (see below), whose sum is σ = 116951726737440. Its totient is φ = 13049165709312.

The previous prime is 41836042816223. The next prime is 41836042816229. The reversal of 41836042816224 is 42261824063814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41836042816223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73806769 + ... + 74371440.

It is an arithmetic number, because the mean of its divisors is an integer number (1218247153515).

Almost surely, 241836042816224 is an apocalyptic number.

It is an amenable number.

41836042816224 is an abundant number, since it is smaller than the sum of its proper divisors (75115683921216).

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

41836042816224 is a wasteful number, since it uses less digits than its factorization.

41836042816224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148178412 (or 148178404 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 41836042816224 in words is "forty-one trillion, eight hundred thirty-six billion, forty-two million, eight hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 173 204 272 346 408 519 544 692 816 1038 1384 1632 2076 2768 2941 4152 5536 5882 8304 8823 11764 16608 17646 23528 35292 47056 70584 94112 141168 282336 148178209 296356418 444534627 592712836 889069254 1185425672 1778138508 2370851344 2519029553 3556277016 4741702688 5038059106 7112554032 7557088659 10076118212 14225108064 15114177318 20152236424 25634830157 30228354636 40304472848 51269660314 60456709272 76904490471 80608945696 102539320628 120913418544 153808980942 205078641256 241826837088 307617961884 410157282512 435792112669 615235923768 820314565024 871584225338 1230471847536 1307376338007 1743168450676 2460943695072 2614752676014 3486336901352 5229505352028 6972673802704 10459010704056 13945347605408 20918021408112 41836042816224