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10453435434 = 23213376119793
BaseRepresentation
bin10011011110001001…
…01100010000101010
3222222111222112121100
421233010230100222
5132402034413214
64445141222230
7520021510101
oct115704542052
928874875540
1010453435434
114484767842
122038a01976
13ca791aa70
14712477038
15412ac9309
hex26f12c42a

10453435434 has 96 divisors (see below), whose sum is σ = 25462526544. Its totient is φ = 3078051840.

The previous prime is 10453435423. The next prime is 10453435441. The reversal of 10453435434 is 43453435401.

10453435434 is a `hidden beast` number, since 104 + 5 + 3 + 4 + 3 + 543 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4121254809 + 6332180625 = 64197^2 + 79575^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518242 + ... + 538034.

Almost surely, 210453435434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10453435434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731263272).

10453435434 is an abundant number, since it is smaller than the sum of its proper divisors (15009091110).

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

10453435434 is a wasteful number, since it uses less digits than its factorization.

10453435434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19909 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 10453435434 in words is "ten billion, four hundred fifty-three million, four hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 61 74 78 111 117 122 183 222 234 333 366 481 549 666 793 962 1098 1443 1586 2257 2379 2886 4329 4514 4758 6771 7137 8658 13542 14274 19793 20313 29341 39586 40626 58682 59379 88023 118758 176046 178137 257309 264069 356274 514618 528138 732341 771927 1207373 1464682 1543854 2197023 2315781 2414746 3622119 4394046 4631562 6591069 7244238 9520433 10866357 13182138 15695849 19040866 21732714 28561299 31391698 44672801 47087547 57122598 85683897 89345602 94175094 134018403 141262641 171367794 268036806 282525282 402055209 580746413 804110418 1161492826 1742239239 3484478478 5226717717 10453435434