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51983326641856 = 26311991060712413
BaseRepresentation
bin10111101000111010011111…
…01101111111111011000000
320211001120001102010202120211
423310131033231333323000
523303143323110014411
6302320451030243504
713643446202625451
oct1364351755777300
9224046042122524
1051983326641856
1115622006761145
1259b6872ab6594
13230101185c34c
14cba013925128
15602313e88221
hex2f474fb7fec0

51983326641856 has 112 divisors (see below), whose sum is σ = 107035772313600. Its totient is φ = 25022449013760.

The previous prime is 51983326641751. The next prime is 51983326641859. The reversal of 51983326641856 is 65814662338915.

It is a super-2 number, since 2×519833266418562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51983326641791 and 51983326641800.

It is not an unprimeable number, because it can be changed into a prime (51983326641859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187807106 + ... + 4187819518.

Almost surely, 251983326641856 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 51983326641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53517886156800).

51983326641856 is an abundant number, since it is smaller than the sum of its proper divisors (55052445671744).

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

51983326641856 is a wasteful number, since it uses less digits than its factorization.

51983326641856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23262 (or 23252 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 67.

The spelling of 51983326641856 in words is "fifty-one trillion, nine hundred eighty-three billion, three hundred twenty-six million, six hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 199 248 398 496 796 992 1592 1984 3184 6169 6368 10607 12338 12413 12736 21214 24676 24826 42428 49352 49652 84856 98704 99304 169712 197408 198608 328817 339424 384803 394816 397216 657634 678848 769606 794432 1315268 1539212 2110793 2470187 2630536 3078424 4221586 4940374 5261072 6156848 8443172 9880748 10522144 12313696 16886344 19761496 21044288 24627392 33772688 39522992 65434583 67545376 76575797 79045984 130869166 131664691 135090752 153151594 158091968 261738332 263329382 306303188 523476664 526658764 612606376 1046953328 1053317528 1225212752 2093906656 2106635056 2450425504 4081605421 4187813312 4213270112 4900851008 8163210842 8426540224 16326421684 26201273509 32652843368 52402547018 65305686736 104805094036 130611373472 209610188072 261222746944 419220376144 812239478779 838440752288 1624478957558 1676881504576 3248957915116 6497915830232 12995831660464 25991663320928 51983326641856