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145554006306 = 23193153337723
BaseRepresentation
bin1000011110001110110…
…0011110000100100010
3111220200220112122002110
42013203230132010202
54341043311200211
6150511103300150
713341651432342
oct2074354360442
9456626478073
10145554006306
11568024952a5
12242618aa656
1310958434767
14708b102d22
153bbd60cea6
hex21e3b1e122

145554006306 has 64 divisors (see below), whose sum is σ = 316414586880. Its totient is φ = 44467600320.

The previous prime is 145554006289. The next prime is 145554006359. The reversal of 145554006306 is 603600455541.

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 31 ways as a sum of consecutive naturals, for example, 18842961 + ... + 18850683.

It is an arithmetic number, because the mean of its divisors is an integer number (4943977920).

Almost surely, 2145554006306 is an apocalyptic number.

145554006306 is an abundant number, since it is smaller than the sum of its proper divisors (170860580574).

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

145554006306 is a wasteful number, since it uses less digits than its factorization.

145554006306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 145554006306 in words is "one hundred forty-five billion, five hundred fifty-four million, six thousand, three hundred six".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1178 1767 3534 5333 7723 10666 15446 15999 23169 31998 46338 101327 146737 165323 202654 239413 293474 303981 330646 440211 478826 495969 607962 718239 880422 991938 1436478 3141137 4548847 6282274 9097694 9423411 13646541 18846822 27293082 41186759 82373518 123560277 247120554 782548421 1276789529 1565096842 2347645263 2553579058 3830368587 4695290526 7660737174 24259001051 48518002102 72777003153 145554006306