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493749267156 = 223237653567661
BaseRepresentation
bin1110010111101011011…
…11111110101011010100
31202012110020100120202200
413023311233332223110
531042144303022111
61014454132204500
750446365344415
oct7136557765324
91665406316680
10493749267156
11180441653392
127b837769730
1337739143ba2
1419c7cdc780c
15cc9bebe256
hex72f5bfead4

493749267156 has 72 divisors (see below), whose sum is σ = 1283785778184. Its totient is φ = 159889386240.

The previous prime is 493749267079. The next prime is 493749267181. The reversal of 493749267156 is 651762947394.

493749267156 is a `hidden beast` number, since 4 + 9 + 37 + 492 + 67 + 1 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55460250000 + 438289017156 = 235500^2 + 662034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 493749267093 and 493749267102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585966 + ... + 1153626.

Almost surely, 2493749267156 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 493749267156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641892889092).

493749267156 is an abundant number, since it is smaller than the sum of its proper divisors (790036511028).

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

493749267156 is a wasteful number, since it uses less digits than its factorization.

493749267156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568361 (or 568356 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 493749267156 in words is "four hundred ninety-three billion, seven hundred forty-nine million, two hundred sixty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 653 666 1306 1332 1959 2612 3918 5877 7836 11754 23508 24161 48322 72483 96644 144966 217449 289932 434898 567661 869796 1135322 1702983 2270644 3405966 5108949 6811932 10217898 20435796 21003457 42006914 63010371 84013828 126020742 189031113 252041484 370682633 378062226 741365266 756124452 1112047899 1482730532 2224095798 3336143697 4448191596 6672287394 13344574788 13715257421 27430514842 41145772263 54861029684 82291544526 123437316789 164583089052 246874633578 493749267156