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357516240445 = 572131764110301
BaseRepresentation
bin1010011001111011010…
…00001110011000111101
31021011210220212202220201
411030331220032120331
521324143124143240
6432123553443501
734554404621500
oct5147550163075
91234726782821
10357516240445
11128692663011
1259357570591
1327937b24790
1413437bb1137
159476d42d9a
hex533da0e63d

357516240445 has 96 divisors (see below), whose sum is σ = 570010978656. Its totient is φ = 212631552000.

The previous prime is 357516240443. The next prime is 357516240469. The reversal of 357516240445 is 544042615753.

It can be written as a sum of positive squares in 16 ways, for example, as 101183481 + 357415056964 = 10059^2 + 597842^2 .

It is not a de Polignac number, because 357516240445 - 21 = 357516240443 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 357516240395 and 357516240404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357516240443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34701795 + ... + 34712095.

It is an arithmetic number, because the mean of its divisors is an integer number (5937614361).

Almost surely, 2357516240445 is an apocalyptic number.

357516240445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

357516240445 is a deficient number, since it is larger than the sum of its proper divisors (212494738211).

357516240445 is a wasteful number, since it uses less digits than its factorization.

357516240445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 357516240445 in words is "three hundred fifty-seven billion, five hundred sixteen million, two hundred forty thousand, four hundred forty-five".

Divisors: 1 5 7 13 17 35 49 65 85 91 119 221 245 455 595 637 641 833 1105 1547 3185 3205 4165 4487 7735 8333 10301 10829 10897 22435 31409 41665 51505 54145 54485 58331 72107 76279 133913 141661 157045 175117 291655 360535 381395 408317 504749 533953 669565 708305 875585 937391 991627 1225819 2041585 2276521 2523745 2669765 4686955 4958135 6129095 6561737 6602941 6941389 8580733 11382605 15935647 32808685 33014705 34706945 42903665 46220587 79678235 85838233 111549529 112249997 231102935 323544109 429191165 557747645 561249985 600867631 785749979 1459249961 1617720545 3004338155 3928749895 4206073417 5500249853 7296249805 10214749727 21030367085 27501249265 51073748635 71503248089 357516240445