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10793142503892 = 22327431487966943
BaseRepresentation
bin1001110100001111100101…
…1011001100100111010100
31102012210222122210002121200
42131003321123030213110
52403313323440111032
634542145021312500
72162531063366310
oct235037133144724
942183878702550
1010793142503892
113491389626461
121263949705730
13603a344a4b98
14294568830b40
1513ab4b1b947c
hex9d0f96cc9d4

10793142503892 has 144 divisors (see below), whose sum is σ = 31907931095040. Its totient is φ = 3011792341824.

The previous prime is 10793142503837. The next prime is 10793142503893. The reversal of 10793142503892 is 29830524139701.

10793142503892 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 3 + 1 + 4 + 250 + 389 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10793142503893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161195373 + ... + 161262315.

Almost surely, 210793142503892 is an apocalyptic number.

10793142503892 is a gapful number since it is divisible by the number (12) 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 10793142503892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953965547520).

10793142503892 is an abundant number, since it is smaller than the sum of its proper divisors (21114788591148).

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

10793142503892 is a wasteful number, since it uses less digits than its factorization.

10793142503892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81882 (or 81877 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10793142503892 in words is "ten trillion, seven hundred ninety-three billion, one hundred forty-two million, five hundred three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 14879 29758 44637 59516 66943 89274 104153 133886 133911 178548 200829 208306 267772 267822 312459 401658 416612 468601 535644 602487 624918 639797 803316 937202 937377 1204974 1249836 1279594 1405803 1874404 1874754 1919391 2409948 2559188 2811606 2878549 3749508 3838782 4217409 4478579 5623212 5757098 5758173 7677564 8434818 8635647 8957158 11514196 11516346 13435737 16869636 17271294 17914316 20149843 23032692 25906941 26871474 34542588 40299686 40307211 51813882 53742948 60449529 80599372 80614422 103627764 120899058 161228844 181348587 241798116 362697174 725394348 996044897 1992089794 2988134691 3984179588 5976269382 6972314279 8964404073 11952538764 13944628558 17928808146 20916942837 27889257116 35857616292 41833885674 42829930571 62750828511 83667771348 85659861142 125501657022 128489791713 171319722284 251003314044 256979583426 299809513997 385469375139 513959166852 599619027994 770938750278 899428541991 1199238055988 1541877500556 1798857083982 2698285625973 3597714167964 5396571251946 10793142503892