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112778225556 = 2231731107166667
BaseRepresentation
bin110100100001000011…
…0110010011110010100
3101210002201010110100220
41221002012302132110
53321432211204211
6123450512434340
711101515046263
oct1510206623624
9353081113326
10112778225556
1143913406097
1219a352489b0
13a833c72159
14565c17a5da
152e00e80806
hex1a421b2794

112778225556 has 96 divisors (see below), whose sum is σ = 290306322432. Its totient is φ = 33919864320.

The previous prime is 112778225503. The next prime is 112778225557. The reversal of 112778225556 is 655522877211.

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 = 112778225499 and 112778225508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112778225557) 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, 593335 + ... + 760001.

It is an arithmetic number, because the mean of its divisors is an integer number (3024024192).

Almost surely, 2112778225556 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 112778225556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145153161216).

112778225556 is an abundant number, since it is smaller than the sum of its proper divisors (177528096876).

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

112778225556 is a wasteful number, since it uses less digits than its factorization.

112778225556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166829 (or 166827 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 51.

The spelling of 112778225556 in words is "one hundred twelve billion, seven hundred seventy-eight million, two hundred twenty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 107 124 186 204 214 321 372 428 527 642 1054 1284 1581 1819 2108 3162 3317 3638 5457 6324 6634 7276 9951 10914 13268 19902 21828 39804 56389 112778 166667 169167 225556 333334 338334 500001 666668 676668 1000002 2000004 2833339 5166677 5666678 8500017 10333354 11333356 15500031 17000034 17833369 20666708 31000062 34000068 35666738 53500107 62000124 71333476 87833509 107000214 175667018 214000428 263500527 303167273 351334036 527001054 552834439 606334546 909501819 1054002108 1105668878 1212669092 1658503317 1819003638 2211337756 3317006634 3638007276 6634013268 9398185463 18796370926 28194556389 37592741852 56389112778 112778225556