Search a number
-
+
1604143211454 = 2327101255749297
BaseRepresentation
bin10111010101111110011…
…000101110001110111110
312200100120111110102121100
4113111332120232032332
5202240241130231304
63224533324113530
7223616110214520
oct27257630561676
95610514412540
101604143211454
1156934a028593
1221aa883958a6
13b836840a754
14578d8a7da10
152bada1e7439
hex1757e62e3be

1604143211454 has 96 divisors (see below), whose sum is σ = 4013142734016. Its totient is φ = 453602073600.

The previous prime is 1604143211453. The next prime is 1604143211471. The reversal of 1604143211454 is 4541123414061.

1604143211454 is a `hidden beast` number, since 1 + 60 + 4 + 1 + 432 + 114 + 54 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604143211453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32515734 + ... + 32565030.

It is an arithmetic number, because the mean of its divisors is an integer number (41803570146).

Almost surely, 21604143211454 is an apocalyptic number.

1604143211454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604143211454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006571367008).

1604143211454 is an abundant number, since it is smaller than the sum of its proper divisors (2408999522562).

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

1604143211454 is a wasteful number, since it uses less digits than its factorization.

1604143211454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51970 (or 51967 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1604143211454 in words is "one trillion, six hundred four billion, one hundred forty-three million, two hundred eleven thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 2557 4242 5114 6363 7671 12726 15342 17899 23013 35798 46026 49297 53697 98594 107394 147891 161091 258257 295782 322182 345079 443673 516514 690158 774771 887346 1035237 1549542 1807799 2070474 2324313 3105711 3615598 4648626 4978997 5423397 6211422 9957994 10846794 14936991 16270191 29873982 32540382 34852979 44810973 69705958 89621946 104558937 126052429 209117874 252104858 313676811 378157287 627353622 756314574 882367003 1134471861 1764734006 2268943722 2647101009 5294202018 7941303027 12731295329 15882606054 25462590658 38193885987 76387771974 89119067303 114581657961 178238134606 229163315922 267357201909 534714403818 802071605727 1604143211454