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146017063248 = 243719127717911
BaseRepresentation
bin1000011111111101001…
…0111001000101010000
3111221220011212100210120
42013333102321011100
54343020332010443
6151025044230240
713356303362520
oct2077722710520
9457804770716
10146017063248
1156a1a909891
122437099b380
1310a00353554
1470d27dd680
153be90ca083
hex21ff4b9150

146017063248 has 160 divisors (see below), whose sum is σ = 454168074240. Its totient is φ = 39490260480.

The previous prime is 146017063243. The next prime is 146017063249. The reversal of 146017063248 is 842360710641.

146017063248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146017063243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8143413 + ... + 8161323.

It is an arithmetic number, because the mean of its divisors is an integer number (2838550464).

Almost surely, 2146017063248 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 146017063248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227084037120).

146017063248 is an abundant number, since it is smaller than the sum of its proper divisors (308151010992).

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

146017063248 is a wasteful number, since it uses less digits than its factorization.

146017063248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19225 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

Adding to 146017063248 its reverse (842360710641), we get a palindrome (988377773889).

The spelling of 146017063248 in words is "one hundred forty-six billion, seventeen million, sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1277 1596 2128 2554 3192 3831 5108 6384 7662 8939 10216 15324 17878 17911 20432 24263 26817 30648 35756 35822 48526 53634 53733 61296 71512 71644 72789 97052 107268 107466 125377 143024 143288 145578 169841 194104 214536 214932 250754 286576 291156 339682 340309 376131 388208 429072 429864 501508 509523 582312 679364 680618 752262 859728 1003016 1019046 1020927 1164624 1358728 1361236 1504524 2006032 2038092 2041854 2382163 2717456 2722472 3009048 4076184 4083708 4764326 5444944 6018096 7146489 8152368 8167416 9528652 14292978 16334832 19057304 22872347 28585956 38114608 45744694 57171912 68617041 91489388 114343824 137234082 160106429 182978776 274468164 320212858 365957552 434574593 480319287 548936328 640425716 869149186 960638574 1097872656 1280851432 1303723779 1738298372 1921277148 2561702864 2607447558 3042022151 3476596744 3842554296 5214895116 6084044302 6953193488 7685108592 9126066453 10429790232 12168088604 18252132906 20859580464 24336177208 36504265812 48672354416 73008531624 146017063248