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145647974480 = 2451820599681
BaseRepresentation
bin1000011110100101001…
…0111011100001010000
3111220221110100201012012
42013221102323201100
54341241340140410
6150524301322052
713344202233131
oct2075122734120
9456843321165
10145647974480
1156850536a48
1224289266328
1310971a45928
1470997a3c88
153bc69c0605
hex21e94bb850

145647974480 has 20 divisors (see below), whose sum is σ = 338631540852. Its totient is φ = 58259189760.

The previous prime is 145647974401. The next prime is 145647974569. The reversal of 145647974480 is 84479746541.

It can be written as a sum of positive squares in 2 ways, for example, as 25812920896 + 119835053584 = 160664^2 + 346172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 910299761 + ... + 910299920.

Almost surely, 2145647974480 is an apocalyptic number.

145647974480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145647974480 is an abundant number, since it is smaller than the sum of its proper divisors (192983566372).

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

145647974480 is a wasteful number, since it uses less digits than its factorization.

145647974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820599694 (or 1820599688 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 59.

The spelling of 145647974480 in words is "one hundred forty-five billion, six hundred forty-seven million, nine hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1820599681 3641199362 7282398724 9102998405 14564797448 18205996810 29129594896 36411993620 72823987240 145647974480