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850163964 = 2231323113523
BaseRepresentation
bin110010101011000…
…111100011111100
32012020201210201020
4302223013203330
53220120221324
6220205544140
730032163066
oct6253074374
92166653636
10850163964
113a6993851
121b8875050
13107197b00
1480ca6736
154e985679
hex32ac78fc

850163964 has 72 divisors (see below), whose sum is σ = 2217503232. Its totient is φ = 253131840.

The previous prime is 850163959. The next prime is 850163983. The reversal of 850163964 is 469361058.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56107 + ... + 69629.

It is an arithmetic number, because the mean of its divisors is an integer number (30798656).

Almost surely, 2850163964 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 850163964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108751616).

850163964 is an abundant number, since it is smaller than the sum of its proper divisors (1367339268).

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

850163964 is a wasteful number, since it uses less digits than its factorization.

850163964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 850163964 is about 29157.5712980351. The cubic root of 850163964 is about 947.3291422461.

The spelling of 850163964 in words is "eight hundred fifty million, one hundred sixty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 676 806 1014 1209 1612 2028 2418 4836 5239 10478 13523 15717 20956 27046 31434 40569 54092 62868 81138 162276 175799 351598 419213 527397 703196 838426 1054794 1257639 1676852 2109588 2285387 2515278 4570774 5030556 5449769 6856161 9141548 10899538 13712322 16349307 21799076 27424644 32698614 65397228 70846997 141693994 212540991 283387988 425081982 850163964