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146828148014672 = 241722431254719181
BaseRepresentation
bin100001011000101000010111…
…100110101111111001010000
3201020212122010002101010120222
4201120220113212233321100
5123221113021342432142
61240135530420052212
742632661245550065
oct4130502746577120
9636778102333528
10146828148014672
1142869516830433
1214574341834068
1363c0ab14bcc37
14283873d920c6c
1511e950c9b8bd2
hex858a179afe50

146828148014672 has 80 divisors (see below), whose sum is σ = 301387647223872. Its totient is φ = 69055689185280.

The previous prime is 146828148014617. The next prime is 146828148014731. The reversal of 146828148014672 is 276410841828641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7654864922 + ... + 7654884102.

Almost surely, 2146828148014672 is an apocalyptic number.

It is an amenable number.

146828148014672 is an abundant number, since it is smaller than the sum of its proper divisors (154559499209200).

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

146828148014672 is a wasteful number, since it uses less digits than its factorization.

146828148014672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33996 (or 33990 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 62.

The spelling of 146828148014672 in words is "one hundred forty-six trillion, eight hundred twenty-eight billion, one hundred forty-eight million, fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 2243 4486 8972 12547 17944 19181 25094 35888 38131 38362 50188 76262 76724 100376 152524 153448 200752 213299 305048 306896 326077 426598 610096 652154 853196 1304308 1706392 2608616 3412784 5217232 28142921 43022983 56285842 86045966 112571684 172091932 225143368 240664007 344183864 450286736 478429657 481328014 688367728 731390711 956859314 962656028 1462781422 1913718628 1925312056 2925562844 3827437256 3850624112 4091288119 5851125688 7654874512 8182576238 11702251376 16365152476 32730304952 65460609904 539809367701 1079618735402 2159237470804 4318474941608 8636949883216 9176759250917 18353518501834 36707037003668 73414074007336 146828148014672