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6151059040 = 255715734981
BaseRepresentation
bin1011011101010000…
…11011011001100000
3120212200022011201111
411232220123121200
5100044132342130
62454210313104
7305300065510
oct55650333140
916780264644
106151059040
112677126775
121237b88794
13770478a09
14424cd1840
1526002602a
hex16ea1b660

6151059040 has 96 divisors (see below), whose sum is σ = 16714119744. Its totient is φ = 2095441920.

The previous prime is 6151059011. The next prime is 6151059113. The reversal of 6151059040 is 409501516.

It is a junction number, because it is equal to n+sod(n) for n = 6151058993 and 6151059011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158350 + ... + 193330.

It is an arithmetic number, because the mean of its divisors is an integer number (174105414).

Almost surely, 26151059040 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 6151059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357059872).

6151059040 is an abundant number, since it is smaller than the sum of its proper divisors (10563060704).

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

6151059040 is a wasteful number, since it uses less digits than its factorization.

6151059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35160 (or 35152 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 6151059040 is about 78428.6876085530. The cubic root of 6151059040 is about 1832.2439591721.

The spelling of 6151059040 in words is "six billion, one hundred fifty-one million, fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 157 160 224 280 314 560 628 785 1099 1120 1256 1570 2198 2512 3140 4396 5024 5495 6280 8792 10990 12560 17584 21980 25120 34981 35168 43960 69962 87920 139924 174905 175840 244867 279848 349810 489734 559696 699620 979468 1119392 1224335 1399240 1958936 2448670 2798480 3917872 4897340 5492017 5596960 7835744 9794680 10984034 19589360 21968068 27460085 38444119 39178720 43936136 54920170 76888238 87872272 109840340 153776476 175744544 192220595 219680680 307552952 384441190 439361360 615105904 768882380 878722720 1230211808 1537764760 3075529520 6151059040