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6750269104384 = 28132124912
BaseRepresentation
bin110001000111010101101…
…1001000110000100000000
3212220022121212020001002001
41202032223121012010000
51341044022342320014
622205010353433344
71264455650451301
oct142165331060400
925808555201061
106750269104384
112172855a26213
129102b756b854
1339c71723aa00
14194a014747a8
15ba8cb33e974
hex623ab646100

6750269104384 has 81 divisors (see below), whose sum is σ = 14591541563949. Its totient is φ = 3115259397120.

The previous prime is 6750269104343. The next prime is 6750269104399. The reversal of 6750269104384 is 4834019620576.

The square root of 6750269104384 is 2598128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 998560518400 + 5751708585984 = 999280^2 + 2398272^2 .

It is a super-2 number, since 2×67502691043842 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 540404379 + ... + 540416869.

It is a 1-persistent number, because it is pandigital, but 2⋅6750269104384 = 13500538208768 is not.

Almost surely, 26750269104384 is an apocalyptic number.

6750269104384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6750269104384 is the 2598128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6750269104384

6750269104384 is an abundant number, since it is smaller than the sum of its proper divisors (7841272459565).

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

6750269104384 is an frugal number, since it uses more digits than its factorization.

6750269104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25024 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 6750269104384 in words is "six trillion, seven hundred fifty billion, two hundred sixty-nine million, one hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 12491 21632 24982 43264 49964 99928 162383 199856 324766 399712 649532 799424 1299064 1598848 2110979 2598128 3197696 4221958 5196256 8443916 10392512 16887832 20785024 33775664 41570048 67551328 135102656 156025081 270205312 312050162 540410624 624100324 1248200648 2028326053 2496401296 4056652106 4992802592 8113304212 9985605184 16226608424 19971210368 26368238689 32453216848 39942420736 52736477378 64906433696 105472954756 129812867392 210945909512 259625734784 421891819024 519251469568 843783638048 1687567276096 3375134552192 6750269104384