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2642563738428 = 22329411693109397
BaseRepresentation
bin100110011101000101000…
…100101010101100111100
3100100121220210212211220220
4212131011010222230330
5321243432304112203
65341551011541340
7361630123106655
oct46350504525474
910317823784826
102642563738428
11929783380009
123681912ba850
1316226745c003
1491c879c452c
1548b1494d653
hex2674512ab3c

2642563738428 has 96 divisors (see below), whose sum is σ = 6538097079360. Its totient is φ = 829239183360.

The previous prime is 2642563738421. The next prime is 2642563738519. The reversal of 2642563738428 is 8248373652462.

It is a super-2 number, since 2×26425637384282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642563738421) 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, 24101026 + ... + 24210422.

It is an arithmetic number, because the mean of its divisors is an integer number (68105177910).

Almost surely, 22642563738428 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 2642563738428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269048539680).

2642563738428 is an abundant number, since it is smaller than the sum of its proper divisors (3895533340932).

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

2642563738428 is a wasteful number, since it uses less digits than its factorization.

2642563738428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111167 (or 111165 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 60.

The spelling of 2642563738428 in words is "two trillion, six hundred forty-two billion, five hundred sixty-three million, seven hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 1693 2378 3386 3567 4756 5079 6772 7134 10158 14268 20316 49097 69413 98194 109397 138826 147291 196388 208239 218794 277652 294582 328191 416478 437588 589164 656382 832956 1312764 2012977 3172513 4025954 4485277 6038931 6345026 8051908 8970554 9517539 12077862 12690052 13455831 17941108 19035078 24155724 26911662 38070156 53823324 130073033 185209121 260146066 370418242 390219099 520292132 555627363 740836484 780438198 1111254726 1560876396 2222509452 5371064509 7593573961 10742129018 15187147922 16113193527 21484258036 22780721883 30374295844 32226387054 45561443766 64452774108 91122887532 220213644869 440427289738 660640934607 880854579476 1321281869214 2642563738428