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10643125515456 = 263744511779149
BaseRepresentation
bin1001101011100000101110…
…1101110011010011000000
31101200110202201100110222210
42122320023231303103000
52343334110112443311
634345215004502120
72145640400131140
oct232701355632300
941613681313883
1010643125515456
1134337a6984685
12123a86124a940
135c2847557cc5
1428b1b6ada920
15136cbad813a6
hex9ae0bb734c0

10643125515456 has 112 divisors (see below), whose sum is σ = 32190032851200. Its totient is φ = 3040208102400.

The previous prime is 10643125515439. The next prime is 10643125515497. The reversal of 10643125515456 is 65451552134601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106431255154562 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5092570 + ... + 6871718.

It is an arithmetic number, because the mean of its divisors is an integer number (287411007600).

Almost surely, 210643125515456 is an apocalyptic number.

10643125515456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10643125515456 is an abundant number, since it is smaller than the sum of its proper divisors (21546907335744).

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

10643125515456 is a wasteful number, since it uses less digits than its factorization.

10643125515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783622 (or 1783612 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 10643125515456 in words is "ten trillion, six hundred forty-three billion, one hundred twenty-five million, five hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 4451 8902 13353 17804 26706 31157 35608 53412 62314 71216 93471 106824 124628 142432 186942 213648 249256 284864 373884 427296 498512 747768 854592 997024 1495536 1779149 1994048 2991072 3558298 5337447 5982144 7116596 10674894 12454043 14233192 21349788 24908086 28466384 37362129 42699576 49816172 56932768 74724258 85399152 99632344 113865536 149448516 170798304 199264688 298897032 341596608 398529376 597794064 797058752 1195588128 2391176256 7918992199 15837984398 23756976597 31675968796 47513953194 55432945393 63351937592 95027906388 110865890786 126703875184 166298836179 190055812776 221731781572 253407750368 332597672358 380111625552 443463563144 506815500736 665195344716 760223251104 886927126288 1330390689432 1520446502208 1773854252576 2660781378864 3547708505152 5321562757728 10643125515456