Search a number
-
+
2245664626416 = 243268322832933
BaseRepresentation
bin100000101011011100000…
…010101101011011110000
321221200110020011220120100
4200223130002231123300
5243243110121021131
64435351042312400
7321146443242501
oct40533402553360
97850406156510
102245664626416
11796421156762
12303284658700
131339c4399c43
147a9955aaba8
153d6353c67e6
hex20adc0ad6f0

2245664626416 has 60 divisors (see below), whose sum is σ = 6293943922968. Its totient is φ = 747458861952.

The previous prime is 2245664626399. The next prime is 2245664626433. The reversal of 2245664626416 is 6146264665422.

2245664626416 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 6 + 6 + 4 + 626 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2245664626399) and next prime (2245664626433).

It is a super-2 number, since 2×22456646264162 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11318115 + ... + 11514818.

Almost surely, 22245664626416 is an apocalyptic number.

It is an amenable number.

2245664626416 is an abundant number, since it is smaller than the sum of its proper divisors (4048279296552).

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

2245664626416 is a wasteful number, since it uses less digits than its factorization.

2245664626416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22833630 (or 22833621 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 2245664626416 in words is "two trillion, two hundred forty-five billion, six hundred sixty-four million, six hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 24588 32784 49176 98352 22832933 45665866 68498799 91331732 136997598 182663464 205496397 273995196 365326928 410992794 547990392 821985588 1095980784 1643971176 3287942352 15594893239 31189786478 46784679717 62379572956 93569359434 124759145912 140354039151 187138718868 249518291824 280708078302 374277437736 561416156604 748554875472 1122832313208 2245664626416