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10303587297664 = 27431872018041
BaseRepresentation
bin1001010111101111110110…
…1010010010100110000000
31100111000100201021212211221
42111323331222102212000
52322303221322011124
633525222550244424
72112260332655503
oct225737552224600
940430321255757
1010303587297664
1133127aa463131
1211a4aa2656714
1359981623a66b
142789a687513a
1512d047504ce4
hex95efda92980

10303587297664 has 32 divisors (see below), whose sum is σ = 21004042431240. Its totient is φ = 5031984491520.

The previous prime is 10303587297649. The next prime is 10303587297721. The reversal of 10303587297664 is 46679278530301.

It is a happy number.

10303587297664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×103035872976642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 936003517 + ... + 936014524.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10303587297664 = 20607174595328, but 3⋅10303587297664 = 30910761892992 is not.

Almost surely, 210303587297664 is an apocalyptic number.

It is an amenable number.

10303587297664 is an abundant number, since it is smaller than the sum of its proper divisors (10700455133576).

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

10303587297664 is an equidigital number, since it uses as much as digits as its factorization.

10303587297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872018098 (or 1872018086 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 10303587297664 in words is "ten trillion, three hundred three billion, five hundred eighty-seven million, two hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 1872018041 3744036082 7488072164 14976144328 29952288656 59904577312 80496775763 119809154624 160993551526 239618309248 321987103052 643974206104 1287948412208 2575896824416 5151793648832 10303587297664