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41363120916 = 2232131912793637
BaseRepresentation
bin100110100001011011…
…110010001100010100
310221202200000020212100
4212201123302030110
51134202424332131
631000231122100
72663005504155
oct464133621424
9127680006770
1041363120916
11165a6448a57
128024513330
133b925baba0
14200563d92c
1511214e47e6
hex9a16f2314

41363120916 has 144 divisors (see below), whose sum is σ = 118651187200. Its totient is φ = 12044526336.

The previous prime is 41363120893. The next prime is 41363120959. The reversal of 41363120916 is 61902136314.

41363120916 is a `hidden beast` number, since 4 + 1 + 3 + 631 + 2 + 0 + 9 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11371050 + ... + 11374686.

Almost surely, 241363120916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41363120916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59325593600).

41363120916 is an abundant number, since it is smaller than the sum of its proper divisors (77288066284).

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

41363120916 is a wasteful number, since it uses less digits than its factorization.

41363120916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 41363120916 in words is "forty-one billion, three hundred sixty-three million, one hundred twenty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1279 1482 2223 2558 2964 3637 3837 4446 5116 7274 7674 8892 10911 11511 14548 15348 16627 21822 23022 24301 32733 33254 43644 46044 47281 48602 49881 65466 66508 69103 72903 94562 97204 99762 130932 138206 141843 145806 149643 189124 199524 207309 218709 276412 283686 291612 299286 315913 414618 425529 437418 567372 598572 621927 631826 829236 851058 874836 898339 947739 1243854 1263652 1702116 1796678 1895478 2487708 2695017 2843217 3593356 3790956 4651723 5390034 5686434 8085051 9303446 10780068 11372868 13955169 16170102 18606892 27910338 32340204 41865507 55820676 60472399 83731014 88382737 120944798 167462028 176765474 181417197 241889596 265148211 353530948 362834394 530296422 544251591 725668788 795444633 1060592844 1088503182 1148975581 1590889266 2177006364 2297951162 3181778532 3446926743 4595902324 6893853486 10340780229 13787706972 20681560458 41363120916