Search a number
-
+
19605374048 = 25131912719531
BaseRepresentation
bin10010010000100100…
…100100010001100000
31212121022222012012202
4102100210210101200
5310122433432143
613001231112332
71262560633631
oct222044442140
955538865182
1019605374048
1183507a4777
1239719726a8
131b059c8460
14d3db1d888
1579b2b9ab8
hex490924460

19605374048 has 96 divisors (see below), whose sum is σ = 44101693440. Its totient is φ = 8504455680.

The previous prime is 19605374021. The next prime is 19605374077. The reversal of 19605374048 is 84047350691.

It is a junction number, because it is equal to n+sod(n) for n = 19605373993 and 19605374011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994043 + ... + 1013573.

It is an arithmetic number, because the mean of its divisors is an integer number (459392640).

Almost surely, 219605374048 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 19605374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050846720).

19605374048 is an abundant number, since it is smaller than the sum of its proper divisors (24496319392).

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

19605374048 is a wasteful number, since it uses less digits than its factorization.

19605374048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19700 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 19605374048 in words is "nineteen billion, six hundred five million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 127 152 208 247 254 304 416 494 508 608 988 1016 1651 1976 2032 2413 3302 3952 4064 4826 6604 7904 9652 13208 19304 19531 26416 31369 38608 39062 52832 62738 77216 78124 125476 156248 250952 253903 312496 371089 501904 507806 624992 742178 1003808 1015612 1484356 2031224 2480437 2968712 4062448 4824157 4960874 5937424 8124896 9648314 9921748 11874848 19296628 19843496 32245681 38593256 39686992 47128303 64491362 77186512 79373984 94256606 128982724 154373024 188513212 257965448 377026424 515930896 612667939 754052848 1031861792 1225335878 1508105696 2450671756 4901343512 9802687024 19605374048