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6729426336 = 253172924903
BaseRepresentation
bin1100100010001101…
…01110010110100000
3122100222121021111110
412101012232112200
5102240213120321
63031430543320
7325522115523
oct62106562640
918328537443
106729426336
112943649676
121379807b40
1383323bc99
1447ba46bba
15295bbe176
hex1911ae5a0

6729426336 has 144 divisors (see below), whose sum is σ = 19374997824. Its totient is φ = 2037977088.

The previous prime is 6729426317. The next prime is 6729426349. The reversal of 6729426336 is 6336249276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1370061 + ... + 1374963.

It is an arithmetic number, because the mean of its divisors is an integer number (134548596).

Almost surely, 26729426336 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 6729426336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687498912).

6729426336 is an abundant number, since it is smaller than the sum of its proper divisors (12645571488).

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

6729426336 is a wasteful number, since it uses less digits than its factorization.

6729426336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4954 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The square root of 6729426336 is about 82033.0807418568. The cubic root of 6729426336 is about 1887.9595324324.

The spelling of 6729426336 in words is "six billion, seven hundred twenty-nine million, four hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 841 928 986 1392 1479 1632 1682 1972 2523 2784 2958 3364 3944 4903 5046 5916 6728 7888 9806 10092 11832 13456 14297 14709 15776 19612 20184 23664 26912 28594 29418 39224 40368 42891 47328 57188 58836 78448 80736 83351 85782 114376 117672 142187 156896 166702 171564 228752 235344 250053 284374 333404 343128 426561 457504 470688 500106 568748 666808 686256 853122 1000212 1137496 1333616 1372512 1706244 2000424 2274992 2417179 2667232 3412488 4000848 4123423 4549984 4834358 6824976 7251537 8001696 8246846 9668716 12370269 13649952 14503074 16493692 19337432 24740538 29006148 32987384 38674864 49481076 58012296 65974768 70098191 77349728 98962152 116024592 131949536 140196382 197924304 210294573 232049184 280392764 395848608 420589146 560785528 841178292 1121571056 1682356584 2243142112 3364713168 6729426336