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675034678792512 = 26322350953704619
BaseRepresentation
bin1001100101111100001100001…
…0001111011001000101000000
310021112002200111101220021000200
42121133003002033121011000
51201434232010232330022
610351402352251245200
7262120434423453603
oct23137030217310500
93245080441807020
10675034678792512
111860a5666073725
12638622b0149800
1322c876600b684c
14bc99bd205233a
155309303b67bac
hex265f0c23d9140

675034678792512 has 84 divisors (see below), whose sum is σ = 2018989591862880. Its totient is φ = 215228448306432.

The previous prime is 675034678792477. The next prime is 675034678792543. The reversal of 675034678792512 is 215297876430576.

675034678792512 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 34 + 6 + 7 + 8 + 79 + 2 + 512 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25476839062 + ... + 25476865557.

It is an arithmetic number, because the mean of its divisors is an integer number (24035590379320).

It is a 2-persistent number, because it is pandigital, and so is 2⋅675034678792512 = 1350069357585024, but 3⋅675034678792512 = 2025104036377536 is not.

Almost surely, 2675034678792512 is an apocalyptic number.

It is an amenable number.

675034678792512 is an abundant number, since it is smaller than the sum of its proper divisors (1343954913070368).

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

675034678792512 is a wasteful number, since it uses less digits than its factorization.

675034678792512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50953704660 (or 50953704647 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 675034678792512 in words is "six hundred seventy-five trillion, thirty-four billion, six hundred seventy-eight million, seven hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 50953704619 101907409238 152861113857 203814818476 305722227714 407629636952 458583341571 611444455428 815259273904 917166683142 1171935206237 1222888910856 1630518547808 1834333366284 2343870412474 2445777821712 3261037095616 3515805618711 3668666732568 4687740824948 4891555643424 7031611237422 7337333465136 9375481649896 9783111286848 10547416856133 14063222474844 14674666930272 18750963299792 21094833712266 28126444949688 29349333860544 37501926599584 42189667424532 56252889899376 75003853199168 84379334849064 112505779798752 168758669698128 225011559597504 337517339396256 675034678792512