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6129189660 = 22351121515591
BaseRepresentation
bin1011011010101010…
…00000001100011100
3120211011011002120110
411231111000030130
5100023033032120
62452105450020
7304613152416
oct55525001434
916734132513
106129189660
112665849a00
1212307a0910
13768a8c759
1442203b9b6
1525d1562e0
hex16d54031c

6129189660 has 144 divisors (see below), whose sum is σ = 18992042496. Its totient is φ = 1475760000.

The previous prime is 6129189653. The next prime is 6129189691. The reversal of 6129189660 is 669819216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093465 + ... + 1099055.

It is an arithmetic number, because the mean of its divisors is an integer number (131889184).

Almost surely, 26129189660 is an apocalyptic number.

6129189660 is a gapful number since it is divisible by the number (60) 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 6129189660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9496021248).

6129189660 is an abundant number, since it is smaller than the sum of its proper divisors (12862852836).

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

6129189660 is a wasteful number, since it uses less digits than its factorization.

6129189660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 6129189660 is about 78289.1413926606. The cubic root of 6129189660 is about 1830.0699367103.

The spelling of 6129189660 in words is "six billion, one hundred twenty-nine million, one hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 151 165 220 242 302 330 363 453 484 604 605 660 726 755 906 1210 1452 1510 1661 1812 1815 2265 2420 3020 3322 3630 4530 4983 5591 6644 7260 8305 9060 9966 11182 16610 16773 18271 19932 22364 24915 27955 33220 33546 36542 49830 54813 55910 61501 67092 73084 83865 91355 99660 109626 111820 123002 167730 182710 184503 219252 246004 274065 307505 335460 365420 369006 548130 615010 676511 738012 844241 922515 1096260 1230020 1353022 1688482 1845030 2029533 2532723 2706044 3376964 3382555 3690060 4059066 4221205 5065446 6765110 8118132 8442410 9286651 10130892 10147665 12663615 13530220 16884820 18573302 20295330 25327230 27859953 37146604 40590660 46433255 50654460 55719906 92866510 102153161 111439812 139299765 185733020 204306322 278599530 306459483 408612644 510765805 557199060 612918966 1021531610 1225837932 1532297415 2043063220 3064594830 6129189660