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412111916094285 = 325112312441493623
BaseRepresentation
bin101110110110100000100100…
…0010111011101001101001101
32000001011111220000012212112100
41131231001020113131031031
5413004020201010004120
64020253333423225313
7152543050314026121
oct13555011027351515
92001144800185470
10412111916094285
1110a347755999600
123a27a072a48239
13148c4caa3b4824
1473aa474aa3581
153299e9b483490
hex176d0485dd34d

412111916094285 has 72 divisors (see below), whose sum is σ = 810497755372032. Its totient is φ = 193366294862400.

The previous prime is 412111916094257. The next prime is 412111916094289. The reversal of 412111916094285 is 582490619111214.

412111916094285 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 1 + 1 + 9 + 1 + 609 + 4 + 28 + 5 = 666.

It is not a de Polignac number, because 412111916094285 - 28 = 412111916094029 is a prime.

It is a super-2 number, since 2×4121119160942852 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412111916094289) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1220578017 + ... + 1220915606.

It is an arithmetic number, because the mean of its divisors is an integer number (11256913269056).

Almost surely, 2412111916094285 is an apocalyptic number.

412111916094285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412111916094285 is a deficient number, since it is larger than the sum of its proper divisors (398385839277747).

412111916094285 is a wasteful number, since it uses less digits than its factorization.

412111916094285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441493687 (or 2441493673 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 412111916094285 in words is "four hundred twelve trillion, one hundred eleven billion, nine hundred sixteen million, ninety-four thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 121 155 165 279 341 363 465 495 605 1023 1089 1395 1705 1815 3069 3751 5115 5445 11253 15345 18755 33759 56265 168795 2441493623 7324480869 12207468115 21973442607 26856429853 36622404345 75686302313 80569289559 109867213035 134282149265 227058906939 241707868677 295420728383 378431511565 402846447795 681176720817 832549325443 886262185149 1135294534695 1208539343385 1477103641915 2497647976329 2658786555447 3405883604085 4162746627215 4431310925745 7492943928987 9158042579873 12488239881645 13293932777235 27474127739619 37464719644935 45790212899365 82422383218857 137370638698095 412111916094285