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6137199860 = 2251125694457
BaseRepresentation
bin1011011011100111…
…00011110011110100
3120211201020001111112
411231303203303310
5100032110343420
62452553254152
7305041223651
oct55563436364
916751201445
106137199860
11266a320100
121233404358
1376a63570c
14423124c28
1525dbd98c5
hex16dce3cf4

6137199860 has 72 divisors (see below), whose sum is σ = 14194361160. Its totient is φ = 2227287040.

The previous prime is 6137199851. The next prime is 6137199877. The reversal of 6137199860 is 689917316.

It can be written as a sum of positive squares in 4 ways, for example, as 352988944 + 5784210916 = 18788^2 + 76054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6137199799 and 6137199808.

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, 1374752 + ... + 1379208.

It is an arithmetic number, because the mean of its divisors is an integer number (197143905).

Almost surely, 26137199860 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 6137199860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097180580).

6137199860 is an abundant number, since it is smaller than the sum of its proper divisors (8057161300).

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

6137199860 is a wasteful number, since it uses less digits than its factorization.

6137199860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The square root of 6137199860 is about 78340.2824860876. The cubic root of 6137199860 is about 1830.8668253495.

The spelling of 6137199860 in words is "six billion, one hundred thirty-seven million, one hundred ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 569 605 1138 1210 2276 2420 2845 4457 5690 6259 8914 11380 12518 17828 22285 25036 31295 44570 49027 62590 68849 89140 98054 125180 137698 196108 245135 275396 344245 490270 539297 688490 980540 1078594 1376980 2157188 2536033 2696485 5072066 5392970 10144132 10785940 12680165 25360330 27896363 50720660 55792726 111585452 139481815 278963630 306859993 557927260 613719986 1227439972 1534299965 3068599930 6137199860