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26472141234 = 232711131145799
BaseRepresentation
bin11000101001110111…
…001101000110110010
32112022220000002221100
4120221313031012302
5413203332004414
620054445505230
71625001326220
oct305167150662
975286002840
1026472141234
1110254919580
125169572216
13265b5232c6
1413d1ab7b10
15a4e067609
hex629dcd1b2

26472141234 has 96 divisors (see below), whose sum is σ = 72055526400. Its totient is φ = 6823346400.

The previous prime is 26472141187. The next prime is 26472141247. The reversal of 26472141234 is 43214127462.

26472141234 is a `hidden beast` number, since 2 + 647 + 2 + 1 + 4 + 1 + 2 + 3 + 4 = 666.

It is a super-3 number, since 3×264721412343 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108667 + ... + 254465.

It is an arithmetic number, because the mean of its divisors is an integer number (750578400).

Almost surely, 226472141234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26472141234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027763200).

26472141234 is an abundant number, since it is smaller than the sum of its proper divisors (45583385166).

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

26472141234 is a wasteful number, since it uses less digits than its factorization.

26472141234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145956 (or 145953 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

Adding to 26472141234 its reverse (43214127462), we get a palindrome (69686268696).

The spelling of 26472141234 in words is "twenty-six billion, four hundred seventy-two million, one hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 154 198 231 262 393 462 693 786 917 1179 1386 1441 1834 2358 2751 2882 4323 5502 8253 8646 10087 12969 16506 20174 25938 30261 60522 90783 145799 181566 291598 437397 874794 1020593 1312191 1603789 2041186 2624382 3061779 3207578 4811367 6123558 9185337 9622734 11226523 14434101 18370674 19099669 22453046 28868202 33679569 38199338 57299007 67359138 101038707 114598014 133697683 171897021 202077414 210096359 267395366 343794042 401093049 420192718 630289077 802186098 1203279147 1260578154 1470674513 1890867231 2406558294 2941349026 3781734462 4412023539 8824047078 13236070617 26472141234