Search a number
-
+
5193494820 = 2234512725243
BaseRepresentation
bin1001101011000111…
…00111000100100100
3111101221110212120000
410311203213010210
541114013313240
62215202341300
7242461656213
oct46543470444
914357425500
105193494820
112225657588
12100b35a830
13649c78c77
14373a6d07a
15205e28430
hex1358e7124

5193494820 has 120 divisors (see below), whose sum is σ = 16421121024. Its totient is φ = 1373972544.

The previous prime is 5193494819. The next prime is 5193494843. The reversal of 5193494820 is 284943915.

5193494820 is a `hidden beast` number, since 51 + 93 + 494 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193119 + ... + 218361.

Almost surely, 25193494820 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 5193494820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210560512).

5193494820 is an abundant number, since it is smaller than the sum of its proper divisors (11227626204).

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

5193494820 is a wasteful number, since it uses less digits than its factorization.

5193494820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25391 (or 25380 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5193494820 is about 72065.9060860266. The cubic root of 5193494820 is about 1731.7554680225.

The spelling of 5193494820 in words is "five billion, one hundred ninety-three million, four hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1524 1620 1905 2286 2540 3429 3810 4572 5715 6858 7620 10287 11430 13716 17145 20574 22860 25243 34290 41148 50486 51435 68580 75729 100972 102870 126215 151458 205740 227187 252430 302916 378645 454374 504860 681561 757290 908748 1135935 1363122 1514580 2044683 2271870 2726244 3205861 3407805 4089366 4543740 6411722 6815610 8178732 9617583 10223415 12823444 13631220 16029305 19235166 20446830 28852749 32058610 38470332 40893660 48087915 57705498 64117220 86558247 96175830 115410996 144263745 173116494 192351660 259674741 288527490 346232988 432791235 519349482 577054980 865582470 1038698964 1298373705 1731164940 2596747410 5193494820