Search a number
-
+
26754190452 = 22321128373999
BaseRepresentation
bin11000111010101011…
…001000110001110100
32120001112201200201200
4120322223020301310
5414243033043302
620142443052500
71634664603153
oct307253106164
976045650650
1026754190452
111038a052300
125227b11130
1326a4aa7632
14141b33759a
15a68bcc81c
hex63aac8c74

26754190452 has 108 divisors (see below), whose sum is σ = 75232248000. Its totient is φ = 8009543520.

The previous prime is 26754190321. The next prime is 26754190457. The reversal of 26754190452 is 25409145762.

26754190452 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 4 + 190 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26754190398 and 26754190407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26754190457) 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 35 ways as a sum of consecutive naturals, for example, 324549 + ... + 398547.

Almost surely, 226754190452 is an apocalyptic number.

26754190452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26754190452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37616124000).

26754190452 is an abundant number, since it is smaller than the sum of its proper divisors (48478057548).

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

26754190452 is a wasteful number, since it uses less digits than its factorization.

26754190452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74114 (or 74098 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26754190452 in words is "twenty-six billion, seven hundred fifty-four million, one hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 121 132 166 198 242 249 332 363 396 484 498 726 747 913 996 1089 1452 1494 1826 2178 2739 2988 3652 4356 5478 8217 10043 10956 16434 20086 30129 32868 40172 60258 73999 90387 120516 147998 180774 221997 295996 361548 443994 665991 813989 887988 1331982 1627978 2441967 2663964 3255956 4883934 6141917 7325901 8953879 9767868 12283834 14651802 17907758 18425751 24567668 26861637 29303604 35815516 36851502 53723274 55277253 67561087 73703004 80584911 107446548 110554506 135122174 161169822 202683261 221109012 270244348 322339644 405366522 608049783 743171957 810733044 1216099566 1486343914 2229515871 2432199132 2972687828 4459031742 6688547613 8918063484 13377095226 26754190452