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145551520062 = 232132103464537
BaseRepresentation
bin1000011110001110001…
…0111111000100111110
3111220200201212022121100
42013203202333010332
54341042142120222
6150510534113530
713341621335664
oct2074342770476
9456621768540
10145551520062
1156801047353
1224260aab8a6
1310957a73c00
14708aa56c34
153bbd2bb4ac
hex21e38bf13e

145551520062 has 72 divisors (see below), whose sum is σ = 344802401424. Its totient is φ = 44350180992.

The previous prime is 145551520007. The next prime is 145551520097. The reversal of 145551520062 is 260025155541.

145551520062 is a `hidden beast` number, since 1 + 45 + 551 + 5 + 2 + 0 + 0 + 62 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145551519999 and 145551520026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81058 + ... + 545594.

It is an arithmetic number, because the mean of its divisors is an integer number (4788922242).

Almost surely, 2145551520062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145551520062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172401200712).

145551520062 is an abundant number, since it is smaller than the sum of its proper divisors (199250881362).

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

145551520062 is a wasteful number, since it uses less digits than its factorization.

145551520062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464674 (or 464658 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 145551520062 in words is "one hundred forty-five billion, five hundred fifty-one million, five hundred twenty thousand, sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 169 206 234 309 338 507 618 927 1014 1339 1521 1854 2678 3042 4017 8034 12051 17407 24102 34814 52221 104442 156663 313326 464537 929074 1393611 2787222 4180833 6038981 8361666 12077962 18116943 36233886 47847311 54350829 78506753 95694622 108701658 143541933 157013506 235520259 287083866 430625799 471040518 622015043 706560777 861251598 1244030086 1413121554 1866045129 3732090258 5598135387 8086195559 11196270774 16172391118 24258586677 48517173354 72775760031 145551520062