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1053199607328 = 25341136938819
BaseRepresentation
bin11110101001101111001…
…01101010011000100000
310201200111021212111020000
433110313211222120200
5114223423044413303
62123455550420000
7136043160645021
oct17246745523040
93650437774200
101053199607328
113767287a3320
1215014a501600
1378415b9a42b
1438d91a9cc48
151c5e1e7cda3
hexf53796a620

1053199607328 has 120 divisors (see below), whose sum is σ = 3379015498320. Its totient is φ = 319151387520.

The previous prime is 1053199607303. The next prime is 1053199607357. The reversal of 1053199607328 is 8237069913501.

1053199607328 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 9 + 9 + 607 + 3 + 28 = 666.

1053199607328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10531996073282 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18440898 + ... + 18497921.

It is an arithmetic number, because the mean of its divisors is an integer number (28158462486).

Almost surely, 21053199607328 is an apocalyptic number.

1053199607328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1053199607328 is an abundant number, since it is smaller than the sum of its proper divisors (2325815890992).

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

1053199607328 is a wasteful number, since it uses less digits than its factorization.

1053199607328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36938852 (or 36938835 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1053199607328 in words is "one trillion, fifty-three billion, one hundred ninety-nine million, six hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 36938819 73877638 110816457 147755276 221632914 295510552 332449371 406327009 443265828 591021104 664898742 812654018 886531656 997348113 1182042208 1218981027 1329797484 1625308036 1773063312 1994696226 2437962054 2659594968 2992044339 3250616072 3546126624 3656943081 3989392452 4875924108 5319189936 5984088678 6501232144 7313886162 7978784904 9751848216 10638379872 10970829243 11968177356 13002464288 14627772324 15957569808 19503696432 21941658486 23936354712 29255544648 31915139616 32912487729 39007392864 43883316972 47872709424 58511089296 65824975458 87766633944 95745418848 117022178592 131649950916 175533267888 263299901832 351066535776 526599803664 1053199607328