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6130052406 = 2331723112671
BaseRepresentation
bin1011011010110000…
…10010110100110110
3120211012202221001000
411231120102310312
5100023243134111
62452140144130
7304623404622
oct55530226466
916735687030
106130052406
112666289115
121230b38046
1376900235a
144221c4182
1525d276c56
hex16d612d36

6130052406 has 96 divisors (see below), whose sum is σ = 14938767360. Its totient is φ = 1860969600.

The previous prime is 6130052371. The next prime is 6130052429. The reversal of 6130052406 is 6042500316.

6130052406 is a `hidden beast` number, since 6 + 130 + 0 + 524 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6130052406.

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, 477451 + ... + 490121.

It is an arithmetic number, because the mean of its divisors is an integer number (155612160).

Almost surely, 26130052406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130052406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469383680).

6130052406 is an abundant number, since it is smaller than the sum of its proper divisors (8808714954).

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

6130052406 is a wasteful number, since it uses less digits than its factorization.

6130052406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6130052406 is about 78294.6511966175. The cubic root of 6130052406 is about 1830.1557996889.

The spelling of 6130052406 in words is "six billion, one hundred thirty million, fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 289 306 459 527 558 578 837 867 918 1054 1581 1674 1734 2601 3162 4743 5202 7803 8959 9486 12671 14229 15606 17918 25342 26877 28458 38013 53754 76026 80631 114039 161262 215407 228078 241893 342117 392801 430814 483786 646221 684234 785602 1178403 1292442 1938663 2356806 3535209 3661919 3877326 5815989 6677617 7070418 7323838 10605627 10985757 11631978 13355234 20032851 21211254 21971514 32957271 40065702 60098553 65914542 98871813 113519489 120197106 180295659 197743626 227038978 340558467 360591318 681116934 1021675401 2043350802 3065026203 6130052406