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146634213450 = 235237671792203
BaseRepresentation
bin1000100010010000010…
…1001000100001001010
3112000111012010211201110
42020210011020201022
54400301324312300
6151210212031150
713410506151324
oct2104405104112
9460435124643
10146634213450
115720721097a
12245036024b6
1310a9b17539a
14715076c614
153c33384550
hex222414884a

146634213450 has 192 divisors, whose sum is σ = 381346306560. Its totient is φ = 37251498240.

The previous prime is 146634213437. The next prime is 146634213499. The reversal of 146634213450 is 54312436641.

It is a junction number, because it is equal to n+sod(n) for n = 146634213399 and 146634213408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66560049 + ... + 66562251.

It is an arithmetic number, because the mean of its divisors is an integer number (1986178680).

Almost surely, 2146634213450 is an apocalyptic number.

146634213450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146634213450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190673153280).

146634213450 is an abundant number, since it is smaller than the sum of its proper divisors (234712093110).

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

146634213450 is a wasteful number, since it uses less digits than its factorization.

146634213450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 146634213450 in words is "one hundred forty-six billion, six hundred thirty-four million, two hundred thirteen thousand, four hundred fifty".