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41362136190 = 2335416016217
BaseRepresentation
bin100110100001011000…
…000001110001111110
310221202121011020002000
4212201120001301332
51134202201324230
631000154043130
72662664233224
oct464130016176
9127677136060
1041362136190
11165a5936131
1280241194a6
133b923348cb
142005464b14
15112139cb60
hex9a1601c7e

41362136190 has 128 divisors (see below), whose sum is σ = 113195456640. Its totient is φ = 10741248000.

The previous prime is 41362136183. The next prime is 41362136191. The reversal of 41362136190 is 9163126314.

41362136190 is a `hidden beast` number, since 4 + 1 + 36 + 2 + 1 + 3 + 619 + 0 = 666.

It is a super-2 number, since 2×413621361902 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41362136191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6649962 + ... + 6656178.

It is an arithmetic number, because the mean of its divisors is an integer number (884339505).

Almost surely, 241362136190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41362136190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56597728320).

41362136190 is an abundant number, since it is smaller than the sum of its proper divisors (71833320450).

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

41362136190 is a wasteful number, since it uses less digits than its factorization.

41362136190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6869 counting only the distinct ones).

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

The spelling of 41362136190 in words is "forty-one billion, three hundred sixty-two million, one hundred thirty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 601 615 738 1107 1202 1230 1803 1845 2214 3005 3606 3690 5409 5535 6010 6217 9015 10818 11070 12434 16227 18030 18651 24641 27045 31085 32454 37302 49282 54090 55953 62170 73923 81135 93255 111906 123205 147846 162270 167859 186510 221769 246410 254897 279765 335718 369615 443538 509794 559530 665307 739230 764691 839295 1108845 1274485 1330614 1529382 1678590 2217690 2294073 2548970 3326535 3736417 3823455 4588146 6653070 6882219 7472834 7646910 11209251 11470365 13764438 18682085 22418502 22940730 33627753 34411095 37364170 56046255 67255506 68822190 100883259 112092510 153193097 168138765 201766518 306386194 336277530 459579291 504416295 765965485 919158582 1008832590 1378737873 1531930970 2297896455 2757475746 4136213619 4595792910 6893689365 8272427238 13787378730 20681068095 41362136190