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151453023345 = 33513194542001
BaseRepresentation
bin1000110100001101001…
…1011011110001110001
3112110221000120202012000
42031003103123301301
54440133433221340
6153324311524213
713641101312631
oct2150323336161
9473830522160
10151453023345
115925a313098
1225429389669
13113886044a0
14748a7466c1
153e16449d30
hex23434dbc71

151453023345 has 64 divisors (see below), whose sum is σ = 305222534400. Its totient is φ = 70637184000.

The previous prime is 151453023317. The next prime is 151453023353. The reversal of 151453023345 is 543320354151.

151453023345 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 5 + 302 + 3 + 345 = 666.

151453023345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151453023345 - 25 = 151453023313 is a prime.

It is a super-2 number, since 2×1514530233452 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237656 + ... + 2304345.

It is an arithmetic number, because the mean of its divisors is an integer number (4769102100).

Almost surely, 2151453023345 is an apocalyptic number.

151453023345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151453023345 is an abundant number, since it is smaller than the sum of its proper divisors (153769511055).

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

151453023345 is a wasteful number, since it uses less digits than its factorization.

151453023345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542047 (or 4542041 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 151453023345 its reverse (543320354151), we get a palindrome (694773377496).

The spelling of 151453023345 in words is "one hundred fifty-one billion, four hundred fifty-three million, twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 11115 33345 4542001 13626003 22710005 40878009 59046013 68130015 86298019 122634027 177138039 204390045 258894057 295230065 431490095 531414117 613170135 776682171 885690195 1121874247 1294470285 1594242351 2330046513 2657070585 3365622741 3883410855 5609371235 7971211755 10096868223 11650232565 16828113705 30290604669 50484341115 151453023345