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146819132082 = 23272479347519
BaseRepresentation
bin1000100010111100011…
…0100010101010110010
3112000222002002200101200
42020233012202222302
54401141144211312
6151240415312030
713415213013600
oct2105706425262
9460862080350
10146819132082
11572a1632a97
122455551b616
1310aca57bcac
14716b146870
153c447100dc
hex222f1a2ab2

146819132082 has 72 divisors (see below), whose sum is σ = 370817740800. Its totient is φ = 41860628208.

The previous prime is 146819132069. The next prime is 146819132143. The reversal of 146819132082 is 280231918641.

146819132082 is a `hidden beast` number, since 1 + 4 + 68 + 191 + 320 + 82 = 666.

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 35 ways as a sum of consecutive naturals, for example, 248719 + ... + 596237.

It is an arithmetic number, because the mean of its divisors is an integer number (5150246400).

Almost surely, 2146819132082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146819132082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185408870400).

146819132082 is an abundant number, since it is smaller than the sum of its proper divisors (223998608718).

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

146819132082 is a wasteful number, since it uses less digits than its factorization.

146819132082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348020 (or 348010 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 146819132082 in words is "one hundred forty-six billion, eight hundred nineteen million, one hundred thirty-two thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 479 882 958 1437 2874 3353 4311 6706 8622 10059 20118 23471 30177 46942 60354 70413 140826 211239 347519 422478 695038 1042557 2085114 2432633 3127671 4865266 6255342 7297899 14595798 17028431 21893697 34056862 43787394 51085293 102170586 153255879 166461601 306511758 332923202 499384803 998769606 1165231207 1498154409 2330462414 2996308818 3495693621 6991387242 8156618449 10487080863 16313236898 20974161726 24469855347 48939710694 73409566041 146819132082