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41825105838 = 23313920272749
BaseRepresentation
bin100110111100111110…
…000111011110101110
310222221212022112001000
4212330332013132232
51141124211341323
631114133101130
73010315351035
oct467476073656
9128855275030
1041825105838
111681320007a
1281331877a6
133c37222a49
14204ab3b71c
15114bd4de43
hex9bcf877ae

41825105838 has 64 divisors (see below), whose sum is σ = 93693600000. Its totient is φ = 13829540832.

The previous prime is 41825105813. The next prime is 41825105863. The reversal of 41825105838 is 83850152814.

41825105838 is a `hidden beast` number, since 4 + 1 + 82 + 510 + 58 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41825105813) and next prime (41825105863).

It is a junction number, because it is equal to n+sod(n) for n = 41825105793 and 41825105802.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15213288 + ... + 15216036.

It is an arithmetic number, because the mean of its divisors is an integer number (1463962500).

Almost surely, 241825105838 is an apocalyptic number.

41825105838 is an abundant number, since it is smaller than the sum of its proper divisors (51868494162).

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

41825105838 is a wasteful number, since it uses less digits than its factorization.

41825105838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 41825105838 in words is "forty-one billion, eight hundred twenty-five million, one hundred five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 139 278 417 834 1251 2027 2502 2749 3753 4054 5498 6081 7506 8247 12162 16494 18243 24741 36486 49482 54729 74223 109458 148446 281753 382111 563506 764222 845259 1146333 1690518 2292666 2535777 3438999 5071554 5572223 6877998 7607331 10316997 11144446 15214662 16716669 20633994 33433338 50150007 100300014 150450021 300900042 774538997 1549077994 2323616991 4647233982 6970850973 13941701946 20912552919 41825105838