Search a number
-
+
1836463820094 = 233972677130969
BaseRepresentation
bin11010101110010101110…
…001100000110100111110
320111120020022200011002000
4122232111301200310332
5220042034214220334
63523354305043130
7246452166624321
oct32562561406476
96446208604060
101836463820094
11648926a4a3a2
12257b040264a6
13104240801307
1464c574807b8
1532b85d88299
hex1ab95c60d3e

1836463820094 has 64 divisors (see below), whose sum is σ = 4124674881600. Its totient is φ = 605612795904.

The previous prime is 1836463820057. The next prime is 1836463820101. The reversal of 1836463820094 is 4900283646381.

1836463820094 is a `hidden beast` number, since 18 + 3 + 6 + 463 + 82 + 0 + 0 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1836463820094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13956642 + ... + 14087610.

It is an arithmetic number, because the mean of its divisors is an integer number (64448045025).

Almost surely, 21836463820094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1836463820094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062337440800).

1836463820094 is an abundant number, since it is smaller than the sum of its proper divisors (2288211061506).

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

1836463820094 is a wasteful number, since it uses less digits than its factorization.

1836463820094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133754 (or 133748 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1836463820094 in words is "one trillion, eight hundred thirty-six billion, four hundred sixty-three million, eight hundred twenty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 2677 5238 5354 8031 16062 24093 48186 72279 130969 144558 259669 261938 392907 519338 779007 785814 1178721 1558014 2337021 2357442 3536163 4674042 7011063 7072326 12703993 14022126 25407986 38111979 76223958 114335937 228671874 343007811 350604013 686015622 701208026 1051812039 2103624078 3155436117 6310872234 9466308351 18932616702 34008589261 68017178522 102025767783 204051535566 306077303349 612154606698 918231910047 1836463820094