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4145723164 = 221119371011327
BaseRepresentation
bin1111011100011010…
…1011011100011100
3101200220220120001101
43313012223130130
531442301120124
61523213122444
7204510031312
oct36706533434
911626816041
104145723164
1118381751a0
12978489424
13510b83a3b
142b48480b2
15193e5c644
hexf71ab71c

4145723164 has 96 divisors (see below), whose sum is σ = 8647511040. Its totient is φ = 1718496000.

The previous prime is 4145723149. The next prime is 4145723177. The reversal of 4145723164 is 4613275414.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3123469 + ... + 3124795.

It is an arithmetic number, because the mean of its divisors is an integer number (90078240).

Almost surely, 24145723164 is an apocalyptic number.

4145723164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4145723164 is an abundant number, since it is smaller than the sum of its proper divisors (4501787876).

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

4145723164 is a wasteful number, since it uses less digits than its factorization.

4145723164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1497 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 4145723164 is about 64387.2903918157. The cubic root of 4145723164 is about 1606.4483471616.

Adding to 4145723164 its reverse (4613275414), we get a palindrome (8758998578).

The spelling of 4145723164 in words is "four billion, one hundred forty-five million, seven hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 11 19 22 37 38 44 74 76 101 148 202 209 404 407 418 703 814 836 1111 1327 1406 1628 1919 2222 2654 2812 3737 3838 4444 5308 7474 7676 7733 14597 14948 15466 21109 25213 29194 30932 41107 42218 49099 50426 58388 71003 82214 84436 98198 100852 134027 142006 164428 196396 268054 277343 284012 536108 540089 554686 781033 932881 1080178 1109372 1474297 1562066 1865762 2160356 2546513 2948594 3124132 3731524 4958999 5093026 5897188 9917998 10186052 10261691 19835996 20523382 28011643 41046764 54548989 56023286 94220981 109097978 112046572 188441962 218195956 376883924 1036430791 2072861582 4145723164