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41145528879 = 3372134635167
BaseRepresentation
bin100110010100011101…
…101111001000101111
310221012111120102201000
4212110131233020233
51133231223411004
630522455251343
72654424140100
oct462435571057
9127174512630
1041145528879
11164a463a924
127b83679b53
133b594b44c0
141dc479c3a7
15110c362c39
hex99476f22f

41145528879 has 96 divisors (see below), whose sum is σ = 76542627840. Its totient is φ = 21652069824.

The previous prime is 41145528863. The next prime is 41145528899. The reversal of 41145528879 is 97882554114.

41145528879 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 552 + 8 + 87 + 9 = 666.

It is not a de Polignac number, because 41145528879 - 24 = 41145528863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145528899) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7960554 + ... + 7965720.

It is an arithmetic number, because the mean of its divisors is an integer number (797319040).

Almost surely, 241145528879 is an apocalyptic number.

41145528879 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41145528879 is a deficient number, since it is larger than the sum of its proper divisors (35397098961).

41145528879 is a wasteful number, since it uses less digits than its factorization.

41145528879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5653 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 41145528879 in words is "forty-one billion, one hundred forty-five million, five hundred twenty-eight thousand, eight hundred seventy-nine".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 463 637 819 1323 1389 1911 2457 3241 4167 5167 5733 6019 9723 12501 15501 17199 18057 22687 29169 36169 42133 46503 54171 67171 68061 87507 108507 126399 139509 162513 201513 204183 253183 294931 325521 379197 470197 604539 612549 759549 884793 976563 1137591 1410591 1813617 2278647 2392321 2654379 3291379 4231773 6835941 7176963 7963137 9874137 12695319 16746247 21530889 29622411 31100173 50238741 64592667 88867233 93300519 117223729 150716223 217701211 279901557 351671187 452148669 653103633 839704671 1055013561 1523908477 1959310899 3165040683 4571725431 5877932697 13715176293 41145528879