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19743003136 = 29107557647
BaseRepresentation
bin10010011000110001…
…100101001000000000
31212221220221110211101
4102120301211020000
5310413202100021
613023025024144
71266151520623
oct223061451000
955856843741
1019743003136
11841145751a
1239aba85054
131b2838559c
14d54107dba
157a8403a91
hex498c65200

19743003136 has 80 divisors (see below), whose sum is σ = 39949246656. Its totient is φ = 9746599936.

The previous prime is 19743003103. The next prime is 19743003149. The reversal of 19743003136 is 63130034791.

It is a junction number, because it is equal to n+sod(n) for n = 19743003095 and 19743003104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30514365 + ... + 30515011.

Almost surely, 219743003136 is an apocalyptic number.

19743003136 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 19743003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974623328).

19743003136 is an abundant number, since it is smaller than the sum of its proper divisors (20206243520).

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

19743003136 is an equidigital number, since it uses as much as digits as its factorization.

19743003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 19743003136 in words is "nineteen billion, seven hundred forty-three million, three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 557 647 856 1114 1294 1712 2228 2588 3424 4456 5176 6848 8912 10352 13696 17824 20704 27392 35648 41408 54784 59599 69229 71296 82816 119198 138458 142592 165632 238396 276916 285184 331264 360379 476792 553832 720758 953584 1107664 1441516 1907168 2215328 2883032 3814336 4430656 5766064 7628672 8861312 11532128 15257344 17722624 23064256 30514688 35445248 38560553 46128512 77121106 92257024 154242212 184514048 308484424 616968848 1233937696 2467875392 4935750784 9871501568 19743003136