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675040034592 = 253271130440117
BaseRepresentation
bin10011101001010111000…
…01010111111100100000
32101112101200220210001200
421310223201113330200
542024440222101332
61234035322401200
766525056423040
oct11645341277440
92345350823050
10675040034592
11240312557210
12aa9b1660200
134b86b30cc41
142495a3bd720
151285cb9217c
hex9d2b857f20

675040034592 has 144 divisors (see below), whose sum is σ = 2393323837632. Its totient is φ = 175335068160.

The previous prime is 675040034573. The next prime is 675040034609. The reversal of 675040034592 is 295430040576.

675040034592 is a `hidden beast` number, since 6 + 7 + 50 + 4 + 0 + 0 + 3 + 4 + 592 = 666.

675040034592 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15197883 + ... + 15242234.

It is an arithmetic number, because the mean of its divisors is an integer number (16620304428).

Almost surely, 2675040034592 is an apocalyptic number.

It is an amenable number.

675040034592 is an abundant number, since it is smaller than the sum of its proper divisors (1718283803040).

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

675040034592 is a wasteful number, since it uses less digits than its factorization.

675040034592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30440151 (or 30440140 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 675040034592 in words is "six hundred seventy-five billion, forty million, thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 30440117 60880234 91320351 121760468 182640702 213080819 243520936 273961053 334841287 365281404 426161638 487041872 547922106 639242457 669682574 730562808 852323276 974083744 1004523861 1095844212 1278484914 1339365148 1461125616 1704646552 1917727371 2009047722 2191688424 2343889009 2556969828 2678730296 2922251232 3013571583 3409293104 3835454742 4018095444 4383376848 4687778018 5113939656 5357460592 6027143166 6818586208 7031667027 7670909484 8036190888 8766753696 9375556036 10227879312 10714921184 12054286332 14063334054 15341818968 16072381776 18751112072 20455758624 21095001081 24108572664 28126668108 30683637936 32144763552 37502224144 42190002162 48217145328 56253336216 61367275872 75004448288 84380004324 96434290656 112506672432 168760008648 225013344864 337520017296 675040034592