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6013406304 = 25352333623
BaseRepresentation
bin1011001100110110…
…10100110001100000
3120112002021200200000
411212123110301200
544303413000204
62432412100000
7302006052543
oct54633246140
916462250600
106013406304
112606458184
1211b9a64600
1374aab0ba9
144108dc85a
15252dd5039
hex1666d4c60

6013406304 has 144 divisors (see below), whose sum is σ = 18505573632. Its totient is φ = 1917260928.

The previous prime is 6013406299. The next prime is 6013406309. The reversal of 6013406304 is 4036043106.

It is an interprime number because it is at equal distance from previous prime (6013406299) and next prime (6013406309).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×60134063042 = 72322110753973880832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6013406309) 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, 162037 + ... + 195659.

It is an arithmetic number, because the mean of its divisors is an integer number (128510928).

Almost surely, 26013406304 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 6013406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252786816).

6013406304 is an abundant number, since it is smaller than the sum of its proper divisors (12492167328).

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

6013406304 is a wasteful number, since it uses less digits than its factorization.

6013406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33671 (or 33651 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6013406304 is about 77546.1559588868. The cubic root of 6013406304 is about 1818.4729678163.

The spelling of 6013406304 in words is "six billion, thirteen million, four hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6624 7452 7776 9936 11178 14904 19872 22356 29808 33623 44712 59616 67246 89424 100869 134492 178848 201738 268984 302607 403476 537968 605214 773329 806952 907821 1075936 1210428 1546658 1613904 1815642 2319987 2420856 2723463 3093316 3227808 3631284 4639974 4841712 5446926 6186632 6959961 7262568 8170389 9279948 9683424 10893852 12373264 13919922 14525136 16340778 18559896 20879883 21787704 24746528 27839844 29050272 32681556 37119792 41759766 43575408 55679688 62639649 65363112 74239584 83519532 87150816 111359376 125279298 130726224 167039064 187918947 222718752 250558596 261452448 334078128 375837894 501117192 668156256 751675788 1002234384 1503351576 2004468768 3006703152 6013406304