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513551213204352 = 27329163282922139
BaseRepresentation
bin111010011000100100111010…
…1101000110001001110000000
32111100100000110000222020001220
41310301021311220301032000
51014303010341040014402
65020122100450155040
7213112564543603431
oct16461116550611600
92440300400866056
10513551213204352
111396a6934668434
12497217ba282a80
13190728966a528b
1490b60231a1488
153e589a3d05dbc
hex1d31275a31380

513551213204352 has 128 divisors (see below), whose sum is σ = 1419816467376000. Its totient is φ = 164266856699904.

The previous prime is 513551213204329. The next prime is 513551213204357. The reversal of 513551213204352 is 253402312155315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513551213204357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139645902 + ... + 143276237.

It is an arithmetic number, because the mean of its divisors is an integer number (11092316151375).

Almost surely, 2513551213204352 is an apocalyptic number.

It is an amenable number.

513551213204352 is an abundant number, since it is smaller than the sum of its proper divisors (906265254171648).

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

513551213204352 is a wasteful number, since it uses less digits than its factorization.

513551213204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282922348 (or 282922336 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 513551213204352 its reverse (253402312155315), we get a palindrome (766953525359667).

The spelling of 513551213204352 in words is "five hundred thirteen trillion, five hundred fifty-one billion, two hundred thirteen million, two hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 163 174 192 232 326 348 384 464 489 652 696 928 978 1304 1392 1856 1956 2608 2784 3712 3912 4727 5216 5568 7824 9454 10432 11136 14181 15648 18908 20864 28362 31296 37816 56724 62592 75632 113448 151264 226896 302528 453792 605056 907584 1815168 282922139 565844278 848766417 1131688556 1697532834 2263377112 3395065668 4526754224 6790131336 8204742031 9053508448 13580262672 16409484062 18107016896 24614226093 27160525344 32818968124 36214033792 46116308657 49228452186 54321050688 65637936248 92232617314 98456904372 108642101376 131275872496 138348925971 184465234628 196913808744 262551744992 276697851942 368930469256 393827617488 525103489984 553395703884 737860938512 787655234976 1050206979968 1106791407768 1337372951053 1475721877024 1575310469952 2213582815536 2674745902106 2951443754048 3150620939904 4012118853159 4427165631072 5349491804212 5902887508096 8024237706318 8854331262144 10698983608424 16048475412636 17708662524288 21397967216848 32096950825272 42795934433696 64193901650544 85591868867392 128387803301088 171183737734784 256775606602176 513551213204352