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41381920845 = 3356116330829
BaseRepresentation
bin100110100010100011…
…100000000001001101
310221210222101101112000
4212202203200001031
51134222232431340
631002142102513
72663324344356
oct464243400115
9127728341460
1041381920845
1116606019691
12802a87aa39
133b96470cc5
142007d34d2d
151122ea9d30
hex9a28e004d

41381920845 has 64 divisors (see below), whose sum is σ = 75235065600. Its totient is φ = 21574667520.

The previous prime is 41381920837. The next prime is 41381920871. The reversal of 41381920845 is 54802918314.

41381920845 is a `hidden beast` number, since 413 + 8 + 192 + 0 + 8 + 45 = 666.

It is not a de Polignac number, because 41381920845 - 23 = 41381920837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41381920845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1326891 + ... + 1357719.

It is an arithmetic number, because the mean of its divisors is an integer number (1175547900).

Almost surely, 241381920845 is an apocalyptic number.

41381920845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41381920845 is a deficient number, since it is larger than the sum of its proper divisors (33853144755).

41381920845 is a wasteful number, since it uses less digits than its factorization.

41381920845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31061 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 41381920845 in words is "forty-one billion, three hundred eighty-one million, nine hundred twenty thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 45 61 135 163 183 305 489 549 815 915 1467 1647 2445 2745 4401 7335 8235 9943 22005 29829 30829 49715 89487 92487 149145 154145 268461 277461 447435 462435 832383 1342305 1387305 1880569 4161915 5025127 5641707 9402845 15075381 16925121 25125635 28208535 45226143 50775363 75376905 84625605 135678429 226130715 253876815 306532747 678392145 919598241 1532663735 2758794723 4597991205 8276384169 13793973615 41381920845