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1026663220044 = 2232711370369127
BaseRepresentation
bin11101111000010011110…
…01011000001101001100
310122010222220222100021100
432330021321120031030
5113310101241020134
62103350443503100
7134113446245310
oct16741171301514
93563886870240
101026663220044
11366450693840
12146b83527a90
1375a77271617
143799565db40
151ba8c474999
hexef09e5834c

1026663220044 has 72 divisors (see below), whose sum is σ = 3235544702208. Its totient is φ = 266665770720.

The previous prime is 1026663220013. The next prime is 1026663220049. The reversal of 1026663220044 is 4400223666201.

1026663220044 is digitally balanced in base 2 and base 12, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10266632200442 (a number of 25 digits) contains 22 as substring.

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

1026663220044 is strictly pandigital in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1026663219990 and 1026663220008.

It is not an unprimeable number, because it can be changed into a prime (1026663220049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185181792 + ... + 185187335.

It is an arithmetic number, because the mean of its divisors is an integer number (44938120864).

Almost surely, 21026663220044 is an apocalyptic number.

1026663220044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1026663220044 is an abundant number, since it is smaller than the sum of its proper divisors (2208881482164).

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

1026663220044 is a wasteful number, since it uses less digits than its factorization.

1026663220044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370369155 (or 370369150 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 1026663220044 its reverse (4400223666201), we get a palindrome (5426886886245).

The spelling of 1026663220044 in words is "one trillion, twenty-six billion, six hundred sixty-three million, two hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 370369127 740738254 1111107381 1481476508 2222214762 2592583889 3333322143 4074060397 4444429524 5185167778 6666644286 7777751667 8148120794 10370335556 12222181191 13333288572 15555503334 16296241588 23333255001 24444362382 28518422779 31111006668 36666543573 46666510002 48888724764 57036845558 73333087146 85555268337 93333020004 114073691116 146666174292 171110536674 256665805011 342221073348 513331610022 1026663220044