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55861016856 = 233171312394373
BaseRepresentation
bin110100000001100100…
…110111100100011000
312100012001100200021020
4310001210313210120
51403400410014411
641355011242440
74015200544311
oct640144674430
9170161320236
1055861016856
11217660a6837
12a9ab8a9420
1353630c6238
1429bccc1608
1516be1c7606
hexd01937918

55861016856 has 128 divisors (see below), whose sum is σ = 149653785600. Its totient is φ = 17314519040.

The previous prime is 55861016851. The next prime is 55861016863. The reversal of 55861016856 is 65861016855.

It is a happy number.

It is a super-2 number, since 2×558610168562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 55861016799 and 55861016808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55861016851) 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, 12771886 + ... + 12776258.

It is an arithmetic number, because the mean of its divisors is an integer number (1169170200).

Almost surely, 255861016856 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 55861016856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74826892800).

55861016856 is an abundant number, since it is smaller than the sum of its proper divisors (93792768744).

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

55861016856 is a wasteful number, since it uses less digits than its factorization.

55861016856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

Subtracting 55861016856 from its reverse (65861016855), we obtain a palindrome (9999999999).

The spelling of 55861016856 in words is "fifty-five billion, eight hundred sixty-one million, sixteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 239 262 393 408 478 524 717 786 956 1048 1434 1572 1912 2227 2868 3144 4063 4373 4454 5736 6681 8126 8746 8908 12189 13119 13362 16252 17492 17816 24378 26238 26724 31309 32504 34984 48756 52476 53448 62618 74341 93927 97512 104952 125236 148682 187854 223023 250472 297364 375708 446046 532253 572863 594728 751416 892092 1045147 1064506 1145726 1596759 1718589 1784184 2090294 2129012 2291452 3135441 3193518 3437178 4180588 4258024 4582904 6270882 6387036 6874356 8361176 9738671 12541764 12774072 13748712 17767499 19477342 25083528 29216013 35534998 38954684 53302497 58432026 71069996 77909368 106604994 116864052 136914257 142139992 213209988 233728104 273828514 410742771 426419976 547657028 821485542 1095314056 1642971084 2327542369 3285942168 4655084738 6982627107 9310169476 13965254214 18620338952 27930508428 55861016856