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163946496 = 21337953
BaseRepresentation
bin10011100010110…
…10000000000000
3102102111100022110
421301122000000
5313432241441
624133535320
74030344060
oct1161320000
9372440273
10163946496
11845a847a
1246aa4540
1327c72b7c
1417ab93a0
15e5d6b16
hex9c5a000

163946496 has 112 divisors (see below), whose sum is σ = 500140224. Its totient is φ = 46792704.

The previous prime is 163946479. The next prime is 163946501. The reversal of 163946496 is 694649361.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171556 + ... + 172508.

Almost surely, 2163946496 is an apocalyptic number.

163946496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250070112).

163946496 is an abundant number, since it is smaller than the sum of its proper divisors (336193728).

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

163946496 is an frugal number, since it uses more digits than its factorization.

163946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 965 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 163946496 is about 12804.1593242196. The cubic root of 163946496 is about 547.3108355905.

The spelling of 163946496 in words is "one hundred sixty-three million, nine hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 953 1024 1344 1536 1792 1906 2048 2688 2859 3072 3584 3812 4096 5376 5718 6144 6671 7168 7624 8192 10752 11436 12288 13342 14336 15248 20013 21504 22872 24576 26684 28672 30496 40026 43008 45744 53368 57344 60992 80052 86016 91488 106736 121984 160104 172032 182976 213472 243968 320208 365952 426944 487936 640416 731904 853888 975872 1280832 1463808 1707776 1951744 2561664 2927616 3415552 3903488 5123328 5855232 6831104 7806976 10246656 11710464 13662208 20493312 23420928 27324416 40986624 54648832 81973248 163946496