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146815080032 = 2537254348761
BaseRepresentation
bin1000100010111011011…
…1000101011001100000
3112000221210110211000202
42020232313011121200
54401134130030112
6151240152404332
713415133406205
oct2105667053140
9460853424022
10146815080032
115729a315695
12245540a66a8
1310ac979082a
14716a7adcac
153c441ae6c2
hex222edc5660

146815080032 has 48 divisors (see below), whose sum is σ = 296976964032. Its totient is φ = 71394001920.

The previous prime is 146815080031. The next prime is 146815080037. The reversal of 146815080032 is 230080518641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146815080031) by changing a digit.

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, 2986532 + ... + 3035292.

It is an arithmetic number, because the mean of its divisors is an integer number (6187020084).

Almost surely, 2146815080032 is an apocalyptic number.

It is an amenable number.

146815080032 is an abundant number, since it is smaller than the sum of its proper divisors (150161884000).

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

146815080032 is a wasteful number, since it uses less digits than its factorization.

146815080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51351 (or 51343 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

Adding to 146815080032 its reverse (230080518641), we get a palindrome (376895598673).

The spelling of 146815080032 in words is "one hundred forty-six billion, eight hundred fifteen million, eighty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 2543 5086 10172 20344 40688 48761 81376 94091 97522 188182 195044 376364 390088 752728 780176 1505456 1560352 1804157 3010912 3608314 7216628 14433256 28866512 57733024 123999223 247998446 495996892 991993784 1983987568 3967975136 4587971251 9175942502 18351885004 36703770008 73407540016 146815080032