Search a number
-
+
42737273724 = 223193710150159
BaseRepresentation
bin100111110011010101…
…110000101101111100
311002022102201110010210
4213303111300231330
51200011220224344
631344440032420
73042032555445
oct476325605574
9132272643123
1042737273724
1117141093332
128348762710
1340511b9962
1420d5d442cc
1511a1e80db9
hex9f3570b7c

42737273724 has 96 divisors (see below), whose sum is σ = 108875289600. Its totient is φ = 13000953600.

The previous prime is 42737273717. The next prime is 42737273737.

42737273724 is nontrivially palindromic in base 10.

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, 826957 + ... + 877115.

It is an arithmetic number, because the mean of its divisors is an integer number (1134117600).

Almost surely, 242737273724 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 42737273724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54437644800).

42737273724 is an abundant number, since it is smaller than the sum of its proper divisors (66138015876).

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

42737273724 is a wasteful number, since it uses less digits than its factorization.

42737273724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50323 (or 50321 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 48.

The spelling of 42737273724 in words is "forty-two billion, seven hundred thirty-seven million, two hundred seventy-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 101 111 114 148 202 222 228 303 404 444 606 703 1212 1406 1919 2109 2812 3737 3838 4218 5757 7474 7676 8436 11211 11514 14948 22422 23028 44844 50159 71003 100318 142006 150477 200636 213009 284012 300954 426018 601908 852036 953021 1855883 1906042 2859063 3711766 3812084 5066059 5567649 5718126 7423532 10132118 11135298 11436252 15198177 20264236 22270596 30396354 35261777 60792708 70523554 96255121 105785331 141047108 187444183 192510242 211570662 288765363 374888366 385020484 423141324 562332549 577530726 749776732 1124665098 1155061452 2249330196 3561439477 7122878954 10684318431 14245757908 21368636862 42737273724