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10645260000512 = 281714231718947
BaseRepresentation
bin1001101011101000101011…
…1100001101110100000000
31101200200021110202120000212
42122322022330031310000
52343402443030004022
634350210454133252
72146044316013504
oct232721274156400
941620243676025
1010645260000512
1134346a1826915
12123b158051228
135c2ac782b407
1428b33a3a2304
15136d9345b3e2
hex9ae8af0dd00

10645260000512 has 72 divisors (see below), whose sum is σ = 22514698394496. Its totient is φ = 5006010802176.

The previous prime is 10645260000509. The next prime is 10645260000541. The reversal of 10645260000512 is 21500006254601.

It is a super-2 number, since 2×106452600005122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5333423 + ... + 7052369.

It is an arithmetic number, because the mean of its divisors is an integer number (312704144368).

Almost surely, 210645260000512 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 10645260000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257349197248).

10645260000512 is an abundant number, since it is smaller than the sum of its proper divisors (11869438393984).

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

10645260000512 is a wasteful number, since it uses less digits than its factorization.

10645260000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720403 (or 1720389 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 10645260000512 in words is "ten trillion, six hundred forty-five billion, two hundred sixty million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 1423 2176 2846 4352 5692 11384 22768 24191 45536 48382 91072 96764 182144 193528 364288 387056 774112 1548224 1718947 3096448 3437894 6192896 6875788 13751576 27503152 29222099 55006304 58444198 110012608 116888396 220025216 233776792 440050432 467553584 935107168 1870214336 2446061581 3740428672 4892123162 7480857344 9784246324 19568492648 39136985296 41583046877 78273970592 83166093754 156547941184 166332187508 313095882368 332664375016 626191764736 665328750032 1330657500064 2661315000128 5322630000256 10645260000512