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26655231642 = 231331372511187
BaseRepresentation
bin11000110100110001…
…101000111010011010
32112210122112001202120
4120310301220322122
5414042214403032
620124550042110
71632353505414
oct306461507232
975718461676
1026655231642
1110339202066
1251ba949336
13268a439a20
14140c1379b4
15a6018162c
hex634c68e9a

26655231642 has 128 divisors (see below), whose sum is σ = 61158924288. Its totient is φ = 7685280000.

The previous prime is 26655231623. The next prime is 26655231649. The reversal of 26655231642 is 24613255662.

It is a junction number, because it is equal to n+sod(n) for n = 26655231594 and 26655231603.

It is not an unprimeable number, because it can be changed into a prime (26655231649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22455373 + ... + 22456559.

It is an arithmetic number, because the mean of its divisors is an integer number (477804096).

Almost surely, 226655231642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26655231642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579462144).

26655231642 is an abundant number, since it is smaller than the sum of its proper divisors (34503692646).

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

26655231642 is a wasteful number, since it uses less digits than its factorization.

26655231642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

The product of its digits is 518400, while the sum is 42.

The spelling of 26655231642 in words is "twenty-six billion, six hundred fifty-five million, two hundred thirty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 31 37 39 62 74 78 93 111 186 222 251 403 481 502 753 806 962 1147 1187 1209 1443 1506 2294 2374 2418 2886 3263 3441 3561 6526 6882 7122 7781 9287 9789 14911 15431 15562 18574 19578 23343 27861 29822 30862 36797 43919 44733 46293 46686 55722 73594 87838 89466 92586 101153 110391 120731 131757 202306 220782 241462 263514 287897 297937 303459 362193 478361 570947 575794 595874 606918 724386 863691 893811 956722 1141894 1361489 1435083 1712841 1727382 1787622 2722978 2870166 3425682 3742661 3873181 4084467 7485322 7746362 8168934 9236047 11023669 11227983 11619543 17699357 18472094 22047338 22455966 23239086 27708141 33071007 35398714 53098071 55416282 66142014 106196142 120068611 143307697 240137222 286615394 341733739 360205833 429923091 683467478 720411666 859846182 1025201217 2050402434 4442538607 8885077214 13327615821 26655231642