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163429648256 = 2772211123493
BaseRepresentation
bin1001100000110100101…
…0101000011110000000
3120121211200201022221102
42120031022220132000
510134200442221011
6203024544313532
714543640042500
oct2301512503600
9517750638842
10163429648256
1163345859706
12278103128a8
13125469735a4
147ca51dba00
1543b7aee73b
hex260d2a8780

163429648256 has 96 divisors (see below), whose sum is σ = 380536881480. Its totient is φ = 69708764160.

The previous prime is 163429648237. The next prime is 163429648271. The reversal of 163429648256 is 652846924361.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1261646 + ... + 1385138.

Almost surely, 2163429648256 is an apocalyptic number.

163429648256 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 163429648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190268440740).

163429648256 is an abundant number, since it is smaller than the sum of its proper divisors (217107233224).

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

163429648256 is a wasteful number, since it uses less digits than its factorization.

163429648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123732 (or 123713 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 56.

The spelling of 163429648256 in words is "one hundred sixty-three billion, four hundred twenty-nine million, six hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 211 224 392 422 448 784 844 896 1477 1568 1688 2954 3136 3376 5908 6272 6752 10339 11816 13504 20678 23632 27008 41356 47264 82712 94528 123493 165424 189056 246986 330848 493972 661696 864451 987944 1323392 1728902 1975888 3457804 3951776 6051157 6915608 7903552 12102314 13831216 15807104 24204628 26057023 27662432 48409256 52114046 55324864 96818512 104228092 110649728 182399161 193637024 208456184 364798322 387274048 416912368 729596644 774548096 833824736 1276794127 1459193288 1667649472 2553588254 2918386576 3335298944 5107176508 5836773152 10214353016 11673546304 20428706032 23347092608 40857412064 81714824128 163429648256