Search a number
-
+
193568405448 = 23311333118307
BaseRepresentation
bin1011010001000110010…
…0110111011111001000
3200111122010002211101210
42310101210313133020
511132412002433243
6224531334413120
716661543204325
oct2642144673710
9614563084353
10193568405448
1175101356000
12316218011a0
131533a9cc122
149523c45b4c
15507d9d6933
hex2d119377c8

193568405448 has 128 divisors (see below), whose sum is σ = 533914007040. Its totient is φ = 58476686400.

The previous prime is 193568405419. The next prime is 193568405477. The reversal of 193568405448 is 844504865391.

193568405448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (193568405419) and next prime (193568405477).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10564311 + ... + 10582617.

It is an arithmetic number, because the mean of its divisors is an integer number (4171203180).

Almost surely, 2193568405448 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 193568405448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266957003520).

193568405448 is an abundant number, since it is smaller than the sum of its proper divisors (340345601592).

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

193568405448 is a wasteful number, since it uses less digits than its factorization.

193568405448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18680 (or 18654 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 193568405448 in words is "one hundred ninety-three billion, five hundred sixty-eight million, four hundred five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 331 363 484 662 726 968 993 1324 1331 1452 1986 2648 2662 2904 3641 3972 3993 5324 7282 7944 7986 10648 10923 14564 15972 18307 21846 29128 31944 36614 40051 43692 54921 73228 80102 87384 109842 120153 146456 160204 201377 219684 240306 320408 402754 439368 440561 480612 604131 805508 881122 961224 1208262 1321683 1611016 1762244 2215147 2416524 2643366 3524488 4430294 4833048 5286732 6059617 6645441 8860588 10573464 12119234 13290882 17721176 18178851 24238468 24366617 26581764 36357702 48476936 48733234 53163528 66655787 72715404 73099851 97466468 133311574 145430808 146199702 194932936 199967361 266623148 292399404 399934722 533246296 584798808 733213657 799869444 1466427314 1599738888 2199640971 2932854628 4399281942 5865709256 8065350227 8798563884 16130700454 17597127768 24196050681 32261400908 48392101362 64522801816 96784202724 193568405448