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51961058982 = 23371941176461
BaseRepresentation
bin110000011001000111…
…101101011010100110
311222010020220021211000
4300121013231122212
51322404012341412
635512013454130
73516433466610
oct603107553246
9158106807730
1051961058982
1120044732758
12a0a17a1346
134b91131561
14272cd6ddb0
151541b144dc
hexc191ed6a6

51961058982 has 128 divisors (see below), whose sum is σ = 142298956800. Its totient is φ = 13721529600.

The previous prime is 51961058957. The next prime is 51961058987. The reversal of 51961058982 is 28985016915.

51961058982 is a `hidden beast` number, since 5 + 19 + 610 + 5 + 8 + 9 + 8 + 2 = 666.

51961058982 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51961058987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206232 + ... + 382692.

It is an arithmetic number, because the mean of its divisors is an integer number (1111710600).

Almost surely, 251961058982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51961058982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71149478400).

51961058982 is an abundant number, since it is smaller than the sum of its proper divisors (90337897818).

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

51961058982 is a wasteful number, since it uses less digits than its factorization.

51961058982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176539 (or 176533 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 51961058982 in words is "fifty-one billion, nine hundred sixty-one million, fifty-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 41 42 54 57 63 82 114 123 126 133 171 189 246 266 287 342 369 378 399 513 574 738 779 798 861 1026 1107 1197 1558 1722 2214 2337 2394 2583 3591 4674 5166 5453 7011 7182 7749 10906 14022 15498 16359 21033 32718 42066 49077 98154 147231 176461 294462 352922 529383 1058766 1235227 1588149 2470454 3176298 3352759 3705681 4764447 6705518 7234901 7411362 9528894 10058277 11117043 14469802 20116554 21704703 22234086 23469313 30174831 33351129 43409406 46938626 50644307 60349662 65114109 66702258 70407939 90524493 101288614 130228218 137463119 140815878 151932921 181048986 195342327 211223817 274926238 303865842 390684654 412389357 422447634 455798763 633671451 824778714 911597526 962241833 1237168071 1267342902 1367396289 1924483666 2474336142 2734792578 2886725499 3711504213 5773450998 7423008426 8660176497 17320352994 25980529491 51961058982