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152880017745 = 35713472382979
BaseRepresentation
bin1000111001100001011…
…0111111000101010001
3112121121110201120111110
42032120112333011101
510001044241031440
6154122045203533
714021336465310
oct2163026770521
9477543646443
10152880017745
115992186a104
12257672605a9
1311555144b80
147584084277
153e9b873080
hex23985bf151

152880017745 has 64 divisors (see below), whose sum is σ = 307461611520. Its totient is φ = 63139385088.

The previous prime is 152880017687. The next prime is 152880017753. The reversal of 152880017745 is 547710088251.

152880017745 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 152880017745 - 211 = 152880015697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152880017694 and 152880017703.

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, 1127335 + ... + 1255644.

It is an arithmetic number, because the mean of its divisors is an integer number (4804087680).

Almost surely, 2152880017745 is an apocalyptic number.

152880017745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152880017745 is an abundant number, since it is smaller than the sum of its proper divisors (154581593775).

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

152880017745 is a wasteful number, since it uses less digits than its factorization.

152880017745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383054.

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 152880017745 in words is "one hundred fifty-two billion, eight hundred eighty million, seventeen thousand, seven hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 47 65 91 105 141 195 235 273 329 455 611 705 987 1365 1645 1833 3055 4277 4935 9165 12831 21385 64155 2382979 7148937 11914895 16680853 30978727 35744685 50042559 83404265 92936181 112000013 154893635 216851089 250212795 336000039 464680905 560000065 650553267 784000091 1084255445 1456000169 1680000195 2352000273 3252766335 3920000455 4368000507 7280000845 10192001183 11760001365 21840002535 30576003549 50960005915 152880017745