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5165782704 = 2432232276871
BaseRepresentation
bin1001100111110011…
…11001011010110000
3111100000022221200100
410303321321122300
541034420021304
62212332352400
7242004266655
oct46371713260
914300287610
105165782704
112210a4a005
121002015700
136442c5474
143700d7c2c
152037a2439
hex133e796b0

5165782704 has 120 divisors (see below), whose sum is σ = 15154244352. Its totient is φ = 1639566720.

The previous prime is 5165782697. The next prime is 5165782709. The reversal of 5165782704 is 4072875615.

5165782704 is a `hidden beast` number, since 5 + 1 + 6 + 578 + 2 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5165782704.

It is not an unprimeable number, because it can be changed into a prime (5165782709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748389 + ... + 755259.

Almost surely, 25165782704 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 5165782704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577122176).

5165782704 is an abundant number, since it is smaller than the sum of its proper divisors (9988461648).

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

5165782704 is a wasteful number, since it uses less digits than its factorization.

5165782704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5165782704 is about 71873.3796617357. The cubic root of 5165782704 is about 1728.6697988557.

The spelling of 5165782704 in words is "five billion, one hundred sixty-five million, seven hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 227 276 368 414 454 552 681 828 908 1104 1362 1656 1816 2043 2724 3312 3632 4086 5221 5448 6871 8172 10442 10896 13742 15663 16344 20613 20884 27484 31326 32688 41226 41768 46989 54968 61839 62652 82452 83536 93978 109936 123678 125304 158033 164904 187956 247356 250608 316066 329808 375912 474099 494712 632132 751824 948198 989424 1264264 1422297 1559717 1896396 2528528 2844594 3119434 3792792 4679151 5689188 6238868 7585584 9358302 11378376 12477736 14037453 18716604 22756752 24955472 28074906 35873491 37433208 56149812 71746982 74866416 107620473 112299624 143493964 215240946 224599248 286987928 322861419 430481892 573975856 645722838 860963784 1291445676 1721927568 2582891352 5165782704