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1053428664640 = 26511387777191
BaseRepresentation
bin11110101010001010011…
…11011100100101000000
310201201002020212210210011
433111011033130211000
5114224410214232030
62123534412114304
7136051641623422
oct17250517344500
93651066783704
101053428664640
11376836022490
121501b3165994
13784514895c1
1438db4286812
151c607126b2a
hexf5453dc940

1053428664640 has 112 divisors (see below), whose sum is σ = 2737261666944. Its totient is φ = 382961203200.

The previous prime is 1053428664599. The next prime is 1053428664703. The reversal of 1053428664640 is 464668243501.

It is a super-2 number, since 2×10534286646402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13608445 + ... + 13685635.

It is an arithmetic number, because the mean of its divisors is an integer number (24439836312).

Almost surely, 21053428664640 is an apocalyptic number.

1053428664640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053428664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368630833472).

1053428664640 is an abundant number, since it is smaller than the sum of its proper divisors (1683833002304).

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

1053428664640 is a wasteful number, since it uses less digits than its factorization.

1053428664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81096 (or 81086 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 1053428664640 in words is "one trillion, fifty-three billion, four hundred twenty-eight million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 3877 7754 15508 19385 31016 38770 42647 62032 77191 77540 85294 124064 154382 155080 170588 213235 248128 308764 310160 341176 385955 426470 617528 620320 682352 771910 849101 852940 1235056 1240640 1364704 1543820 1698202 1705880 2470112 2729408 3087640 3396404 3411760 4245505 4940224 6175280 6792808 6823520 8491010 12350560 13585616 13647040 16982020 24701120 27171232 33964040 54342464 67928080 135856160 271712320 299269507 598539014 1197078028 1496347535 2394156056 2992695070 3291964577 4788312112 5985390140 6583929154 9576624224 11970780280 13167858308 16459822885 19153248448 23941560560 26335716616 32919645770 47883121120 52671433232 65839291540 95766242240 105342866464 131678583080 210685732928 263357166160 526714332320 1053428664640