Search a number
-
+
26194751064468 = 223271006110331719
BaseRepresentation
bin1011111010010111100001…
…10101010000100110010100
310102202012020020111012010200
411331023300311100212110
511413133322233030333
6131413411424220500
75342336231203050
oct575136065204624
9112665206435120
1026194751064468
11838a14a097738
122b3087516a730
13118020137508c
14667b92d8ac60
153065bb567c13
hex17d2f0d50994

26194751064468 has 72 divisors (see below), whose sum is σ = 75681254113920. Its totient is φ = 7483469981760.

The previous prime is 26194751064467. The next prime is 26194751064491. The reversal of 26194751064468 is 86446015749162.

26194751064468 is a `hidden beast` number, since 2 + 6 + 1 + 94 + 75 + 10 + 6 + 4 + 468 = 666.

It is a super-3 number, since 3×261947510644683 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26194751064467) 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, 2630488 + ... + 7701231.

It is an arithmetic number, because the mean of its divisors is an integer number (1051128529360).

Almost surely, 226194751064468 is an apocalyptic number.

26194751064468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26194751064468 is an abundant number, since it is smaller than the sum of its proper divisors (49486503049452).

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

26194751064468 is a wasteful number, since it uses less digits than its factorization.

26194751064468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341797 (or 10341792 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 26194751064468 in words is "twenty-six trillion, one hundred ninety-four billion, seven hundred fifty-one million, sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 10061 20122 30183 40244 60366 70427 90549 120732 140854 181098 211281 281708 362196 422562 633843 845124 1267686 2535372 10331719 20663438 30995157 41326876 61990314 72322033 92985471 123980628 144644066 185970942 216966099 289288132 371941884 433932198 650898297 867864396 1301796594 2603593188 103947424859 207894849718 311842274577 415789699436 623684549154 727631974013 935526823731 1247369098308 1455263948026 1871053647462 2182895922039 2910527896052 3742107294924 4365791844078 6548687766117 8731583688156 13097375532234 26194751064468