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163861368 = 2331117291259
BaseRepresentation
bin10011100010001…
…01001101111000
3102102100000112120
421301011031320
5313422030433
624132041240
74026540636
oct1161051570
9372300476
10163861368
118454a520
1246a63220
1327c431b8
1417a96356
15e5bb7b3
hex9c45378

163861368 has 128 divisors (see below), whose sum is σ = 489888000. Its totient is φ = 45086720.

The previous prime is 163861363. The next prime is 163861391. The reversal of 163861368 is 863168361.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163861363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129523 + ... + 130781.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2163861368 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 163861368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

163861368 is an abundant number, since it is smaller than the sum of its proper divisors (326026632).

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

163861368 is a wasteful number, since it uses less digits than its factorization.

163861368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1321 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 163861368 is about 12800.8346602868. The cubic root of 163861368 is about 547.2160901616.

The spelling of 163861368 in words is "one hundred sixty-three million, eight hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 29 33 34 44 51 58 66 68 87 88 102 116 132 136 174 187 204 232 264 319 348 374 408 493 561 638 696 748 957 986 1122 1259 1276 1479 1496 1914 1972 2244 2518 2552 2958 3777 3828 3944 4488 5036 5423 5916 7554 7656 10072 10846 11832 13849 15108 16269 21403 21692 27698 30216 32538 36511 41547 42806 43384 55396 64209 65076 73022 83094 85612 109533 110792 128418 130152 146044 166188 171224 219066 235433 256836 292088 332376 401621 438132 470866 513672 620687 706299 803242 876264 941732 1204863 1241374 1412598 1606484 1862061 1883464 2409726 2482748 2825196 3212968 3724122 4819452 4965496 5650392 6827557 7448244 9638904 13655114 14896488 20482671 27310228 40965342 54620456 81930684 163861368