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45352554134346 = 23354714533105649
BaseRepresentation
bin10100100111111011101101…
…11000001111101101001010
312221120122212110211210202000
422103331312320033231022
521421024012324244341
6240242401543251430
712360420366360024
oct1223756670175512
9187518773753660
1045352554134346
11134a5a01519908
125105766749b76
131c3c95c431934
14b2b10a9d7014
15539acd8128b6
hex293f76e0fb4a

45352554134346 has 64 divisors (see below), whose sum is σ = 100975604496000. Its totient is φ = 15088699761408.

The previous prime is 45352554134317. The next prime is 45352554134351. The reversal of 45352554134346 is 64343145525354.

45352554134346 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 2 + 554 + 1 + 3 + 43 + 46 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45352554134292 and 45352554134301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429222930 + ... + 429328578.

It is an arithmetic number, because the mean of its divisors is an integer number (1577743820250).

Almost surely, 245352554134346 is an apocalyptic number.

45352554134346 is an abundant number, since it is smaller than the sum of its proper divisors (55623050361654).

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

45352554134346 is a wasteful number, since it uses less digits than its factorization.

45352554134346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120740 (or 120734 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 45352554134346 in words is "forty-five trillion, three hundred fifty-two billion, five hundred fifty-four million, one hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 547 1094 1641 3282 4923 9846 14533 14769 29066 29538 43599 87198 105649 130797 211298 261594 316947 392391 633894 784782 950841 1901682 2852523 5705046 7949551 15899102 23848653 47697306 57790003 71545959 115580006 143091918 173370009 214637877 346740018 429275754 520110027 1040220054 1535396917 1560330081 3070793834 3120660162 4606190751 9212381502 13818572253 27637144506 41455716759 82911433518 839862113599 1679724227198 2519586340797 5039172681594 7558759022391 15117518044782 22676277067173 45352554134346