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146504045104 = 241913713925307
BaseRepresentation
bin1000100001110001010…
…0100101001000110000
3112000011010012121022121
42020130110211020300
54400020013420404
6151145242044024
713404335556634
oct2103424451060
9460133177277
10146504045104
115714a79452a
1224487aa9614
1310a7a1cb0b1
14713b366dc4
153c26c20e54
hex221c525230

146504045104 has 80 divisors (see below), whose sum is σ = 303149347200. Its totient is φ = 68391793152.

The previous prime is 146504045101. The next prime is 146504045111. The reversal of 146504045104 is 401540405641.

It is a self number, because there is not a number n which added to its sum of digits gives 146504045104.

It is not an unprimeable number, because it can be changed into a prime (146504045101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5776419 + ... + 5801725.

It is an arithmetic number, because the mean of its divisors is an integer number (3789366840).

Almost surely, 2146504045104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146504045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151574673600).

146504045104 is an abundant number, since it is smaller than the sum of its proper divisors (156645302096).

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

146504045104 is a wasteful number, since it uses less digits than its factorization.

146504045104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25610 (or 25604 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 146504045104 in words is "one hundred forty-six billion, five hundred four million, forty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 137 139 152 274 278 304 548 556 1096 1112 2192 2224 2603 2641 5206 5282 10412 10564 19043 20824 21128 25307 38086 41648 42256 50614 76172 101228 152344 202456 304688 361817 404912 480833 723634 961666 1447268 1923332 2894536 3467059 3517673 3846664 5789072 6934118 7035346 7693328 13868236 14070692 27736472 28141384 55472944 56282768 65874121 66835787 131748242 133671574 263496484 267343148 481921201 526992968 534686296 963842402 1053985936 1069372592 1927684804 3855369608 7710739216 9156502819 18313005638 36626011276 73252022552 146504045104