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1638894112 = 251731157619
BaseRepresentation
bin110000110101111…
…1000101000100000
311020012212110001221
41201223320220200
511324024102422
6430343104424
755420240642
oct14153705040
94205773057
101638894112
11771127449
12398a42114
1320170313b
1411793a892
1598d333c7
hex61af8a20

1638894112 has 96 divisors (see below), whose sum is σ = 3554772480. Its totient is φ = 740413440.

The previous prime is 1638894109. The next prime is 1638894133. The reversal of 1638894112 is 2114988361.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2647339 + ... + 2647957.

It is an arithmetic number, because the mean of its divisors is an integer number (37028880).

Almost surely, 21638894112 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 1638894112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777386240).

1638894112 is an abundant number, since it is smaller than the sum of its proper divisors (1915878368).

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

1638894112 is a wasteful number, since it uses less digits than its factorization.

1638894112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 1638894112 is about 40483.2571812101. The cubic root of 1638894112 is about 1179.0085783416.

The spelling of 1638894112 in words is "one billion, six hundred thirty-eight million, eight hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 157 248 272 314 496 527 544 619 628 992 1054 1238 1256 2108 2476 2512 2669 4216 4867 4952 5024 5338 8432 9734 9904 10523 10676 16864 19189 19468 19808 21046 21352 38378 38936 42092 42704 76756 77872 82739 84184 85408 97183 153512 155744 165478 168368 194366 307024 326213 330956 336736 388732 614048 652426 661912 777464 1304852 1323824 1554928 1652111 2609704 2647648 3012673 3109856 3304222 5219408 6025346 6608444 10438816 12050692 13216888 24101384 26433776 48202768 51215441 52867552 96405536 102430882 204861764 409723528 819447056 1638894112