Search a number
-
+
5455368768 = 2631911531297
BaseRepresentation
bin1010001010010101…
…00101001001000000
3112002012020110002010
411011022211021000
542133033300033
62301155252520
7252121604133
oct50512451100
915065213063
105455368768
11234a460333
121082baa140
1368c2b8175
1439a75a21a
1521de05863
hex1452a5240

5455368768 has 112 divisors (see below), whose sum is σ = 15218582720. Its totient is φ = 1719926784.

The previous prime is 5455368733. The next prime is 5455368769. The reversal of 5455368768 is 8678635545.

It is a super-2 number, since 2×54553687682 = 59522096789739675648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (5455368769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205496 + ... + 4206792.

Almost surely, 25455368768 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 5455368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609291360).

5455368768 is an abundant number, since it is smaller than the sum of its proper divisors (9763213952).

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

5455368768 is a wasteful number, since it uses less digits than its factorization.

5455368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2474 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 57.

The square root of 5455368768 is about 73860.4682357213. The cubic root of 5455368768 is about 1760.3865335601.

It can be divided in two parts, 54553 and 68768, that added together give a palindrome (123321).

The spelling of 5455368768 in words is "five billion, four hundred fifty-five million, three hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1153 1216 1297 1824 2306 2594 3459 3648 3891 4612 5188 6918 7782 9224 10376 13836 15564 18448 20752 21907 24643 27672 31128 36896 41504 43814 49286 55344 62256 65721 73792 73929 83008 87628 98572 110688 124512 131442 147858 175256 197144 221376 249024 262884 295716 350512 394288 525768 591432 701024 788576 1051536 1182864 1402048 1495441 1577152 2103072 2365728 2990882 4206144 4486323 4731456 5981764 8972646 11963528 17945292 23927056 28413379 35890584 47854112 56826758 71781168 85240137 95708224 113653516 143562336 170480274 227307032 287124672 340960548 454614064 681921096 909228128 1363842192 1818456256 2727684384 5455368768