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145164006532 = 22611129526957
BaseRepresentation
bin1000011100110001110…
…0101111010010000100
3111212200201200120222101
42013030130233102010
54334243441202112
6150404252241444
713326204460636
oct2071434572204
9455621616871
10145164006532
115662232a736
1224173170284
13108c56b4b6c
1470513c2a56
153b99272757
hex21cc72f484

145164006532 has 24 divisors (see below), whose sum is σ = 258430742360. Its totient is φ = 71328764160.

The previous prime is 145164006509. The next prime is 145164006541. The reversal of 145164006532 is 235600461541.

It can be written as a sum of positive squares in 4 ways, for example, as 472019076 + 144691987456 = 21726^2 + 380384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145164006491 and 145164006500.

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 7 ways as a sum of consecutive naturals, for example, 11998 + ... + 538954.

Almost surely, 2145164006532 is an apocalyptic number.

It is an amenable number.

145164006532 is a deficient number, since it is larger than the sum of its proper divisors (113266735828).

145164006532 is a wasteful number, since it uses less digits than its factorization.

145164006532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528151 (or 528149 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 145164006532 in words is "one hundred forty-five billion, one hundred sixty-four million, six thousand, five hundred thirty-two".

Divisors: 1 2 4 61 122 244 1129 2258 4516 68869 137738 275476 526957 1053914 2107828 32144377 64288754 128577508 594934453 1189868906 2379737812 36291001633 72582003266 145164006532