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1373222016 = 27329712289
BaseRepresentation
bin101000111011001…
…1011010010000000
310112200221220110200
41101312123102000
510303021101031
6344132525200
746013123505
oct12166332200
93480856420
101373222016
1164516a031
12323a80800
1318b66420a
14d05414ac
15808558e6
hex51d9b480

1373222016 has 96 divisors (see below), whose sum is σ = 3992652300. Its totient is φ = 452984832.

The previous prime is 1373221981. The next prime is 1373222021. The reversal of 1373222016 is 6102223731.

1373222016 is a `hidden beast` number, since 137 + 322 + 201 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1346596416 + 26625600 = 36696^2 + 5160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 105600 + ... + 117888.

Almost surely, 21373222016 is an apocalyptic number.

1373222016 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 1373222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996326150).

1373222016 is an abundant number, since it is smaller than the sum of its proper divisors (2619430284).

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

1373222016 is a wasteful number, since it uses less digits than its factorization.

1373222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1373222016 is about 37057.0103489205. The cubic root of 1373222016 is about 1111.5105414534.

Adding to 1373222016 its reverse (6102223731), we get a palindrome (7475445747).

The spelling of 1373222016 in words is "one billion, three hundred seventy-three million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1152 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 12289 12416 13968 18624 24578 27936 36867 37248 49156 55872 73734 98312 110601 111744 147468 196624 221202 294936 393248 442404 589872 786496 884808 1179744 1192033 1572992 1769616 2359488 2384066 3539232 3576099 4718976 4768132 7078464 7152198 9536264 10728297 14156928 14304396 19072528 21456594 28608792 38145056 42913188 57217584 76290112 85826376 114435168 152580224 171652752 228870336 343305504 457740672 686611008 1373222016