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145271748825 = 32527353326107
BaseRepresentation
bin1000011101001011011…
…1101111100011011001
3111212222020102110121200
42013102313233203121
54340004031430300
6150423101424413
713331653330260
oct2072267574331
9455866373550
10145271748825
115667812a055
12241a326b109
1310911b096b8
14706182b5d7
153ba3956200
hex21d2def8d9

145271748825 has 72 divisors (see below), whose sum is σ = 297464526528. Its totient is φ = 66388602240.

The previous prime is 145271748803. The next prime is 145271748827. The reversal of 145271748825 is 528847172541.

145271748825 is a `hidden beast` number, since 1 + 4 + 527 + 17 + 4 + 88 + 25 = 666.

It is not a de Polignac number, because 145271748825 - 221 = 145269651673 is a prime.

It is a super-2 number, since 2×1452717488252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145271748827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5551422 + ... + 5577528.

Almost surely, 2145271748825 is an apocalyptic number.

145271748825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145271748825 is an abundant number, since it is smaller than the sum of its proper divisors (152192777703).

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

145271748825 is a wasteful number, since it uses less digits than its factorization.

145271748825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29663 (or 29655 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The spelling of 145271748825 in words is "one hundred forty-five billion, two hundred seventy-one million, seven hundred forty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 3533 10599 17665 24731 26107 31797 52995 74193 78321 88325 123655 130535 158985 182749 222579 234963 264975 370965 391605 548247 618275 652675 794925 913745 1112895 1174815 1644741 1854825 1958025 2741235 4568725 5564475 5874075 8223705 13706175 41118525 92236031 276708093 461180155 645652217 830124279 1383540465 1936956651 2305900775 3228261085 4150621395 5810869953 6917702325 9684783255 16141305425 20753106975 29054349765 48423916275 145271748825