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146203069980 = 223511191932313
BaseRepresentation
bin1000100000101001100…
…0011100111000011100
3111222101010212111001210
42020022120130320130
54343410441214410
6151055331104420
713364022406302
oct2101230347034
9458333774053
10146203069980
1157005904460
1224403142110
1310a2ca4b4c6
14710d3bc272
153c0a5bd220
hex220a61ce1c

146203069980 has 288 divisors, whose sum is σ = 474046352640. Its totient is φ = 33297039360.

The previous prime is 146203069937. The next prime is 146203069981. The reversal of 146203069980 is 89960302641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146203069981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467102304 + ... + 467102616.

It is an arithmetic number, because the mean of its divisors is an integer number (1645994280).

Almost surely, 2146203069980 is an apocalyptic number.

146203069980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146203069980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237023176320).

146203069980 is an abundant number, since it is smaller than the sum of its proper divisors (327843282660).

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

146203069980 is a wasteful number, since it uses less digits than its factorization.

146203069980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 146203069980 in words is "one hundred forty-six billion, two hundred three million, sixty-nine thousand, nine hundred eighty".