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42482915316 = 2236116312527
BaseRepresentation
bin100111100100001011…
…011101011111110100
311001122201002201000000
4213210023131133310
51144001111242231
631303312151300
73032523551652
oct474413353764
9131581081000
1042482915316
1117020553076
128297538530
1340105ac51a
1420b0251dd2
15118998a6e6
hex9e42dd7f4

42482915316 has 84 divisors (see below), whose sum is σ = 111571411392. Its totient is φ = 14147666064.

The previous prime is 42482915297. The next prime is 42482915327. The reversal of 42482915316 is 61351928424.

42482915316 is a `hidden beast` number, since 4 + 2 + 48 + 291 + 5 + 316 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3385045 + ... + 3397571.

It is an arithmetic number, because the mean of its divisors is an integer number (1328231088).

Almost surely, 242482915316 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 42482915316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55785705696).

42482915316 is an abundant number, since it is smaller than the sum of its proper divisors (69088496076).

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

42482915316 is a wasteful number, since it uses less digits than its factorization.

42482915316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13695 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 42482915316 in words is "forty-two billion, four hundred eighty-two million, nine hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1163 1458 2326 2916 3489 4652 6978 10467 12527 13956 20934 25054 31401 37581 41868 50108 62802 75162 94203 112743 125604 150324 188406 225486 282609 338229 376812 450972 565218 676458 847827 1014687 1130436 1352916 1695654 2029374 3044061 3391308 4058748 6088122 9132183 12176244 14568901 18264366 29137802 36528732 43706703 58275604 87413406 131120109 174826812 262240218 393360327 524480436 786720654 1180080981 1573441308 2360161962 3540242943 4720323924 7080485886 10620728829 14160971772 21241457658 42482915316