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146740463584 = 25112132915219
BaseRepresentation
bin1000100010101001101…
…0011100011111100000
3112000202121001220111121
42020222122130133200
54401011024313314
6151224525222024
713413236234431
oct2105232343740
9460677056447
10146740463584
1157261191200
1224533101914
1310ab71969a0
147160909488
153c3c870d24
hex222a69c7e0

146740463584 has 72 divisors (see below), whose sum is σ = 341972797320. Its totient is φ = 61569404160.

The previous prime is 146740463579. The next prime is 146740463587. The reversal of 146740463584 is 485364047641.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146740463587) 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 11 ways as a sum of consecutive naturals, for example, 1407274 + ... + 1507945.

It is an arithmetic number, because the mean of its divisors is an integer number (4749622185).

Almost surely, 2146740463584 is an apocalyptic number.

It is an amenable number.

146740463584 is an abundant number, since it is smaller than the sum of its proper divisors (195232333736).

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

146740463584 is a wasteful number, since it uses less digits than its factorization.

146740463584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915264 (or 2915245 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 146740463584 in words is "one hundred forty-six billion, seven hundred forty million, four hundred sixty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 50336 2915219 5830438 11660876 23321752 32067409 37897847 46643504 64134818 75795694 93287008 128269636 151591388 256539272 303182776 352741499 416876317 513078544 606365552 705482998 833752634 1026157088 1212731104 1410965996 1667505268 2821931992 3335010536 4585639487 5643863984 6670021072 9171278974 11287727968 13340042144 18342557948 36685115896 73370231792 146740463584