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1720289664 = 2734277599
BaseRepresentation
bin110011010001001…
…1000100110000000
311102220000202210000
41212202120212000
512010343232124
6442411440000
760426135522
oct14642304600
94386022700
101720289664
118030710a5
12400156000
132155317a2
14124687a12
15a10606c9
hex66898980

1720289664 has 160 divisors (see below), whose sum is σ = 5146614000. Its totient is φ = 570405888.

The previous prime is 1720289651. The next prime is 1720289699. The reversal of 1720289664 is 4669820271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2871637 + ... + 2872235.

Almost surely, 21720289664 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 1720289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573307000).

1720289664 is an abundant number, since it is smaller than the sum of its proper divisors (3426324336).

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

1720289664 is an equidigital number, since it uses as much as digits as its factorization.

1720289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1720289664 is about 41476.3747692587. The cubic root of 1720289664 is about 1198.2125388074.

The spelling of 1720289664 in words is "one billion, seven hundred twenty million, two hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 277 288 324 384 432 554 576 599 648 831 864 1108 1152 1198 1296 1662 1728 1797 2216 2396 2493 2592 3324 3456 3594 4432 4792 4986 5184 5391 6648 7188 7479 8864 9584 9972 10368 10782 13296 14376 14958 16173 17728 19168 19944 21564 22437 26592 28752 29916 32346 35456 38336 39888 43128 44874 48519 53184 57504 59832 64692 76672 79776 86256 89748 97038 106368 115008 119664 129384 159552 165923 172512 179496 194076 230016 239328 258768 319104 331846 345024 358992 388152 478656 497769 517536 663692 690048 717984 776304 957312 995538 1035072 1327384 1435968 1493307 1552608 1991076 2070144 2654768 2871936 2986614 3105216 3982152 4479921 5309536 5973228 6210432 7964304 8959842 10619072 11946456 13439763 15928608 17919684 21238144 23892912 26879526 31857216 35839368 47785824 53759052 63714432 71678736 95571648 107518104 143357472 191143296 215036208 286714944 430072416 573429888 860144832 1720289664