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51305026362616 = 231310722343147969
BaseRepresentation
bin10111010101001011000011…
…10111110001110011111000
320201122201020111111101122101
423222211201313301303320
523211040143222100431
6301041112001233144
713543444244446105
oct1352454167616370
9221581214441571
1051305026362616
1115390380953974
1259073116327b4
132282073c79480
14c95268557aac
155de864e97961
hex2ea961df1cf8

51305026362616 has 128 divisors (see below), whose sum is σ = 105279674572800. Its totient is φ = 23298080624640.

The previous prime is 51305026362613. The next prime is 51305026362673. The reversal of 51305026362616 is 61626362050315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51305026362613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069521480 + ... + 1069569448.

It is an arithmetic number, because the mean of its divisors is an integer number (822497457600).

Almost surely, 251305026362616 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 51305026362616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52639837286400).

51305026362616 is an abundant number, since it is smaller than the sum of its proper divisors (53974648210184).

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

51305026362616 is a wasteful number, since it uses less digits than its factorization.

51305026362616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48749 (or 48745 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 51305026362616 in words is "fifty-one trillion, three hundred five billion, twenty-six million, three hundred sixty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 107 214 223 428 431 446 856 862 892 1391 1724 1784 2782 2899 3448 5564 5603 5798 11128 11206 11596 22412 23192 23861 44824 46117 47722 47969 92234 95444 95938 96113 184468 190888 191876 192226 310193 368936 383752 384452 599521 620386 623597 768904 1199042 1240772 1247194 1249469 2398084 2481544 2494388 2498938 4796168 4988776 4997876 5132683 9995752 10265366 10284091 10697087 20530732 20568182 20674639 21394174 41061464 41136364 41349278 42788348 66724879 82272728 82698556 85576696 133449758 133693183 139062131 165397112 266899516 267386366 268770307 278124262 533799032 534772732 537540614 556248524 1069545464 1075081228 1112497048 1144588309 2150162456 2212186373 2289176618 4424372746 4578353236 4610444497 8848745492 9156706472 9220888994 14879648017 17697490984 18441777988 28758422849 29759296034 36883555976 57516845698 59518592068 59935778461 115033691396 119037184136 119871556922 230067382792 239743113844 479486227688 493317561179 986635122358 1973270244716 3946540489432 6413128295327 12826256590654 25652513181308 51305026362616