Search a number
-
+
22754736027426 = 231319611537716369
BaseRepresentation
bin1010010110001111111111…
…11101010011011100100010
32222120022221200022001020210
411023013333331103130202
510440303144410334201
6120221214215314550
74535655366635244
oct513077775233442
988508850261223
1022754736027426
117283258300017
12267602b07ba56
13c909bacbb140
1458949972c094
15296d824731d6
hex14b1fff53722

22754736027426 has 128 divisors (see below), whose sum is σ = 52442030995200. Its totient is φ = 6523399618560.

The previous prime is 22754736027421. The next prime is 22754736027493. The reversal of 22754736027426 is 62472063745722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (22754736027421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390103370 + ... + 1390119738.

It is an arithmetic number, because the mean of its divisors is an integer number (409703367150).

Almost surely, 222754736027426 is an apocalyptic number.

22754736027426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22754736027426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26221015497600).

22754736027426 is an abundant number, since it is smaller than the sum of its proper divisors (29687294967774).

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

22754736027426 is a wasteful number, since it uses less digits than its factorization.

22754736027426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31844.

The product of its (nonzero) digits is 47416320, while the sum is 57.

The spelling of 22754736027426 in words is "twenty-two trillion, seven hundred fifty-four billion, seven hundred thirty-six million, twenty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 61 78 114 122 183 247 366 494 741 793 1159 1482 1586 2318 2379 3477 4758 6954 15067 15377 16369 30134 30754 32738 45201 46131 49107 90402 92262 98214 199901 212797 292163 311011 399802 425594 584326 599703 622022 638391 876489 933033 937997 998509 1199406 1276782 1752978 1866066 1875994 1997018 2813991 2995527 3798119 4043143 5627982 5991054 7596238 8086286 11394357 12129429 12193961 12980617 17821943 18971671 22788714 24258858 24387922 25961234 35643886 36581883 37943342 38941851 53465829 56915013 73163766 77883702 106931658 113830026 231685259 246631723 251706113 463370518 493263446 503412226 695055777 739895169 755118339 1390111554 1479790338 1510236678 3272179469 4782416147 6544358938 9564832294 9816538407 14347248441 15354072893 19633076814 28694496882 30708145786 46062218679 62171409911 92124437358 124342819822 186514229733 199602947609 291727384967 373028459466 399205895218 583454769934 598808842827 875182154901 1197617685654 1750364309802 3792456004571 7584912009142 11377368013713 22754736027426