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3716406036 = 223571035303
BaseRepresentation
bin1101110110000011…
…1101101100010100
3100121000001222200000
43131200331230110
530102344443121
61412435251300
7161044634010
oct33540755424
910530058600
103716406036
1116378a5952
12878749b30
13472c49235
14273811540
1516b407526
hexdd83db14

3716406036 has 144 divisors (see below), whose sum is σ = 11244140544. Its totient is φ = 1051322976.

The previous prime is 3716406017. The next prime is 3716406073. The reversal of 3716406036 is 6306046173.

It is a happy number.

3716406036 is a `hidden beast` number, since 3 + 7 + 1 + 6 + 40 + 603 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698161 + ... + 703463.

Almost surely, 23716406036 is an apocalyptic number.

3716406036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3716406036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622070272).

3716406036 is an abundant number, since it is smaller than the sum of its proper divisors (7527734508).

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

3716406036 is a wasteful number, since it uses less digits than its factorization.

3716406036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3716406036 is about 60962.3329278006. The cubic root of 3716406036 is about 1548.9630297518.

The spelling of 3716406036 in words is "three billion, seven hundred sixteen million, four hundred six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 103 108 126 162 189 206 243 252 309 324 378 412 486 567 618 721 756 927 972 1134 1236 1442 1701 1854 2163 2268 2781 2884 3402 3708 4326 5303 5562 6489 6804 8343 8652 10606 11124 12978 15909 16686 19467 21212 25029 25956 31818 33372 37121 38934 47727 50058 58401 63636 74242 77868 95454 100116 111363 116802 143181 148484 175203 190908 222726 233604 286362 334089 350406 429543 445452 546209 572724 668178 700812 859086 1002267 1092418 1288629 1336356 1638627 1718172 2004534 2184836 2577258 3006801 3277254 3823463 4009068 4915881 5154516 6013602 6554508 7646926 9020403 9831762 11470389 12027204 14747643 15293852 18040806 19663524 22940778 29495286 34411167 36081612 44242929 45881556 58990572 68822334 88485858 103233501 132728787 137644668 176971716 206467002 265457574 309700503 412934004 530915148 619401006 929101509 1238802012 1858203018 3716406036