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1045542135132 = 22321121912632813
BaseRepresentation
bin11110011011011110010…
…10101110010101011100
310200221201121222121010200
433031233022232111130
5114112232241311012
62120152044303500
7135352336341135
oct17155712562534
93627647877120
101045542135132
11373459307100
1214a771b41b90
13777955c53b1
1438866ab8c8c
151c2e4a923dc
hexf36f2ae55c

1045542135132 has 108 divisors (see below), whose sum is σ = 3057898956840. Its totient is φ = 300155613120.

The previous prime is 1045542135107. The next prime is 1045542135139. The reversal of 1045542135132 is 2315312455401.

1045542135132 is a `hidden beast` number, since 1 + 0 + 4 + 554 + 21 + 3 + 51 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045542135139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6233643 + ... + 6399170.

It is an arithmetic number, because the mean of its divisors is an integer number (28313879230).

Almost surely, 21045542135132 is an apocalyptic number.

1045542135132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1045542135132 is an abundant number, since it is smaller than the sum of its proper divisors (2012356821708).

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

1045542135132 is a wasteful number, since it uses less digits than its factorization.

1045542135132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12632864 (or 12632848 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1045542135132 in words is "one trillion, forty-five billion, five hundred forty-two million, one hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 836 1089 1254 1452 1881 2178 2299 2508 3762 4356 4598 6897 7524 9196 13794 20691 27588 41382 82764 12632813 25265626 37898439 50531252 75796878 113695317 138960943 151593756 227390634 240023447 277921886 416882829 454781268 480046894 555843772 720070341 833765658 960093788 1250648487 1440140682 1528570373 1667531316 2160211023 2501296974 2640257917 2880281364 3057140746 4320422046 4585711119 5002593948 5280515834 6114281492 7920773751 8640844092 9171422238 10561031668 13757133357 15841547502 18342844476 23762321253 27514266714 29042837087 31683095004 47524642506 55028533428 58085674174 87128511261 95049285012 116171348348 174257022522 261385533783 348514045044 522771067566 1045542135132