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5005555056 = 24358291553
BaseRepresentation
bin1001010100101101…
…01011010101110000
3110220211211112200000
410222112223111300
540222410230211
62144410230000
7235020341655
oct45226532560
913824745600
105005555056
112139561667
12b78425300
1361a0551c8
14356b09c2c
151e46a2656
hex12a5ab570

5005555056 has 120 divisors (see below), whose sum is σ = 14554328880. Its totient is φ = 1665432576.

The previous prime is 5005555039. The next prime is 5005555099. The reversal of 5005555056 is 6505555005.

5005555056 is a `hidden beast` number, since 5 + 0 + 0 + 55 + 550 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5005555056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222376 + ... + 3223928.

It is an arithmetic number, because the mean of its divisors is an integer number (121286074).

Almost surely, 25005555056 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 5005555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277164440).

5005555056 is an abundant number, since it is smaller than the sum of its proper divisors (9548773824).

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

5005555056 is a wasteful number, since it uses less digits than its factorization.

5005555056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The square root of 5005555056 is about 70749.9473922066. The cubic root of 5005555056 is about 1710.6089797751.

It can be divided in two parts, 50055 and 55056, that added together give a triangular number (105111 = T458).

The spelling of 5005555056 in words is "five billion, five million, five hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 829 972 1296 1553 1658 1944 2487 3106 3316 3888 4659 4974 6212 6632 7461 9318 9948 12424 13264 13977 14922 18636 19896 22383 24848 27954 29844 37272 39792 41931 44766 55908 59688 67149 74544 83862 89532 111816 119376 125793 134298 167724 179064 201447 223632 251586 268596 335448 358128 377379 402894 503172 537192 670896 754758 805788 1006344 1074384 1287437 1509516 1611576 2012688 2574874 3019032 3223152 3862311 5149748 6038064 7724622 10299496 11586933 15449244 20598992 23173866 30898488 34760799 46347732 61796976 69521598 92695464 104282397 139043196 185390928 208564794 278086392 312847191 417129588 556172784 625694382 834259176 1251388764 1668518352 2502777528 5005555056